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Finding the Fourth Proportional to 134.80, 202.56 and 117.20

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Solution

The fourth proportional to 134.80, 202.56 and 117.20 is: 176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 202.56 = 117.20 : x
  2. Step 2: Convert to fraction form
    134.80/202.56 = 117.20/x
  3. Step 3: Cross multiply
    134.80x = 202.56 × 117.20
  4. Step 4: Simplify right side
    134.80x = 23,740.03
  5. Step 5: Solve for x
    x = 23,740.03/134.80
  6. Step 6: Final answer
    x = 176.11

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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.