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Finding the Fourth Proportional to 421.85, 632.78 and 178.10

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Solution

The fourth proportional to 421.85, 632.78 and 178.10 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 632.78 = 178.10 : x
  2. Step 2: Convert to fraction form
    421.85/632.78 = 178.10/x
  3. Step 3: Cross multiply
    421.85x = 632.78 × 178.10
  4. Step 4: Simplify right side
    421.85x = 112,697.10
  5. Step 5: Solve for x
    x = 112,697.10/421.85
  6. Step 6: Final answer
    x = 267.15

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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.