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Finding the Fourth Proportional to 315.78, 473.72 and 99.38

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Solution

The fourth proportional to 315.78, 473.72 and 99.38 is: 149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 473.72 = 99.38 : x
  2. Step 2: Convert to fraction form
    315.78/473.72 = 99.38/x
  3. Step 3: Cross multiply
    315.78x = 473.72 × 99.38
  4. Step 4: Simplify right side
    315.78x = 47,075.43
  5. Step 5: Solve for x
    x = 47,075.43/315.78
  6. Step 6: Final answer
    x = 149.08

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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.