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Finding the Fourth Proportional to 420.74, 630.76 and 160.68

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Solution

The fourth proportional to 420.74, 630.76 and 160.68 is: 240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.74 : 630.76 = 160.68 : x
  2. Step 2: Convert to fraction form
    420.74/630.76 = 160.68/x
  3. Step 3: Cross multiply
    420.74x = 630.76 × 160.68
  4. Step 4: Simplify right side
    420.74x = 101,350.52
  5. Step 5: Solve for x
    x = 101,350.52/420.74
  6. Step 6: Final answer
    x = 240.89

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