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Finding the Fourth Proportional to 484.88, 727.07 and 160.13

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Solution

The fourth proportional to 484.88, 727.07 and 160.13 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.88 : 727.07 = 160.13 : x
  2. Step 2: Convert to fraction form
    484.88/727.07 = 160.13/x
  3. Step 3: Cross multiply
    484.88x = 727.07 × 160.13
  4. Step 4: Simplify right side
    484.88x = 116,421.28
  5. Step 5: Solve for x
    x = 116,421.28/484.88
  6. Step 6: Final answer
    x = 240.11

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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.