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Finding the Fourth Proportional to 186.16, 256.88 and 124.06

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Solution

The fourth proportional to 186.16, 256.88 and 124.06 is: 171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 256.88 = 124.06 : x
  2. Step 2: Convert to fraction form
    186.16/256.88 = 124.06/x
  3. Step 3: Cross multiply
    186.16x = 256.88 × 124.06
  4. Step 4: Simplify right side
    186.16x = 31,868.53
  5. Step 5: Solve for x
    x = 31,868.53/186.16
  6. Step 6: Final answer
    x = 171.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.