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Finding the Fourth Proportional to 315.48, 472.95 and 110.02

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Solution

The fourth proportional to 315.48, 472.95 and 110.02 is: 164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.48 : 472.95 = 110.02 : x
  2. Step 2: Convert to fraction form
    315.48/472.95 = 110.02/x
  3. Step 3: Cross multiply
    315.48x = 472.95 × 110.02
  4. Step 4: Simplify right side
    315.48x = 52,034.48
  5. Step 5: Solve for x
    x = 52,034.48/315.48
  6. Step 6: Final answer
    x = 164.94

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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.