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Finding the Fourth Proportional to 420.91, 631.35 and 147.07

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Solution

The fourth proportional to 420.91, 631.35 and 147.07 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.91 : 631.35 = 147.07 : x
  2. Step 2: Convert to fraction form
    420.91/631.35 = 147.07/x
  3. Step 3: Cross multiply
    420.91x = 631.35 × 147.07
  4. Step 4: Simplify right side
    420.91x = 92,849.88
  5. Step 5: Solve for x
    x = 92,849.88/420.91
  6. Step 6: Final answer
    x = 220.59

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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.