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Finding the Fourth Proportional to 304.71, 457.07 and 160.13

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Solution

The fourth proportional to 304.71, 457.07 and 160.13 is: 240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 457.07 = 160.13 : x
  2. Step 2: Convert to fraction form
    304.71/457.07 = 160.13/x
  3. Step 3: Cross multiply
    304.71x = 457.07 × 160.13
  4. Step 4: Simplify right side
    304.71x = 73,187.53
  5. Step 5: Solve for x
    x = 73,187.53/304.71
  6. Step 6: Final answer
    x = 240.19

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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.