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Finding the Fourth Proportional to 189.76, 261.88 and 116.04

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Solution

The fourth proportional to 189.76, 261.88 and 116.04 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 261.88 = 116.04 : x
  2. Step 2: Convert to fraction form
    189.76/261.88 = 116.04/x
  3. Step 3: Cross multiply
    189.76x = 261.88 × 116.04
  4. Step 4: Simplify right side
    189.76x = 30,386.67
  5. Step 5: Solve for x
    x = 30,386.67/189.76
  6. Step 6: Final answer
    x = 160.13

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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.