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Finding the Fourth Proportional to 312.71, 469.22 and 130.10

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Solution

The fourth proportional to 312.71, 469.22 and 130.10 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 469.22 = 130.10 : x
  2. Step 2: Convert to fraction form
    312.71/469.22 = 130.10/x
  3. Step 3: Cross multiply
    312.71x = 469.22 × 130.10
  4. Step 4: Simplify right side
    312.71x = 61,042.53
  5. Step 5: Solve for x
    x = 61,042.53/312.71
  6. Step 6: Final answer
    x = 195.21

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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.