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Finding the Fourth Proportional to 315.66, 473.49 and 99.39

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Solution

The fourth proportional to 315.66, 473.49 and 99.39 is: 149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 473.49 = 99.39 : x
  2. Step 2: Convert to fraction form
    315.66/473.49 = 99.39/x
  3. Step 3: Cross multiply
    315.66x = 473.49 × 99.39
  4. Step 4: Simplify right side
    315.66x = 47,060.17
  5. Step 5: Solve for x
    x = 47,060.17/315.66
  6. Step 6: Final answer
    x = 149.09

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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.