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Finding the Fourth Proportional to 421.76, 632.10 and 178.22

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Solution

The fourth proportional to 421.76, 632.10 and 178.22 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.76 : 632.10 = 178.22 : x
  2. Step 2: Convert to fraction form
    421.76/632.10 = 178.22/x
  3. Step 3: Cross multiply
    421.76x = 632.10 × 178.22
  4. Step 4: Simplify right side
    421.76x = 112,652.86
  5. Step 5: Solve for x
    x = 112,652.86/421.76
  6. Step 6: Final answer
    x = 267.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.