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Finding the Fourth Proportional to 315.78, 473.42 and 99.24

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Solution

The fourth proportional to 315.78, 473.42 and 99.24 is: 148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 473.42 = 99.24 : x
  2. Step 2: Convert to fraction form
    315.78/473.42 = 99.24/x
  3. Step 3: Cross multiply
    315.78x = 473.42 × 99.24
  4. Step 4: Simplify right side
    315.78x = 46,982.20
  5. Step 5: Solve for x
    x = 46,982.20/315.78
  6. Step 6: Final answer
    x = 148.78

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Why These Related Problems?

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