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Finding the Fourth Proportional to 186.16, 278.68 and 159.16

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Solution

The fourth proportional to 186.16, 278.68 and 159.16 is: 238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 278.68 = 159.16 : x
  2. Step 2: Convert to fraction form
    186.16/278.68 = 159.16/x
  3. Step 3: Cross multiply
    186.16x = 278.68 × 159.16
  4. Step 4: Simplify right side
    186.16x = 44,354.71
  5. Step 5: Solve for x
    x = 44,354.71/186.16
  6. Step 6: Final answer
    x = 238.26

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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.