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Finding the Fourth Proportional to 421.53, 632.36 and 178.12

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Solution

The fourth proportional to 421.53, 632.36 and 178.12 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.53 : 632.36 = 178.12 : x
  2. Step 2: Convert to fraction form
    421.53/632.36 = 178.12/x
  3. Step 3: Cross multiply
    421.53x = 632.36 × 178.12
  4. Step 4: Simplify right side
    421.53x = 112,635.96
  5. Step 5: Solve for x
    x = 112,635.96/421.53
  6. Step 6: Final answer
    x = 267.21

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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.