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Finding the Fourth Proportional to 308.16, 461.70 and 125.15

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Solution

The fourth proportional to 308.16, 461.70 and 125.15 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 461.70 = 125.15 : x
  2. Step 2: Convert to fraction form
    308.16/461.70 = 125.15/x
  3. Step 3: Cross multiply
    308.16x = 461.70 × 125.15
  4. Step 4: Simplify right side
    308.16x = 57,779.45
  5. Step 5: Solve for x
    x = 57,779.45/308.16
  6. Step 6: Final answer
    x = 187.50

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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.