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Finding the Fourth Proportional to 421.46, 631.82 and 178.16

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Solution

The fourth proportional to 421.46, 631.82 and 178.16 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.46 : 631.82 = 178.16 : x
  2. Step 2: Convert to fraction form
    421.46/631.82 = 178.16/x
  3. Step 3: Cross multiply
    421.46x = 631.82 × 178.16
  4. Step 4: Simplify right side
    421.46x = 112,565.05
  5. Step 5: Solve for x
    x = 112,565.05/421.46
  6. Step 6: Final answer
    x = 267.08

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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.