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Finding the Fourth Proportional to 186.01, 256.65 and 116.07

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Solution

The fourth proportional to 186.01, 256.65 and 116.07 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.01 : 256.65 = 116.07 : x
  2. Step 2: Convert to fraction form
    186.01/256.65 = 116.07/x
  3. Step 3: Cross multiply
    186.01x = 256.65 × 116.07
  4. Step 4: Simplify right side
    186.01x = 29,788.62
  5. Step 5: Solve for x
    x = 29,788.62/186.01
  6. Step 6: Final answer
    x = 160.14

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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.