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Finding the Fourth Proportional to 309.18, 463.75 and 126.57

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Solution

The fourth proportional to 309.18, 463.75 and 126.57 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.18 : 463.75 = 126.57 : x
  2. Step 2: Convert to fraction form
    309.18/463.75 = 126.57/x
  3. Step 3: Cross multiply
    309.18x = 463.75 × 126.57
  4. Step 4: Simplify right side
    309.18x = 58,696.52
  5. Step 5: Solve for x
    x = 58,696.52/309.18
  6. Step 6: Final answer
    x = 189.85

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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.