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Finding the Fourth Proportional to 177.60, 266.40 and 109.10

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Solution

The fourth proportional to 177.60, 266.40 and 109.10 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 266.40 = 109.10 : x
  2. Step 2: Convert to fraction form
    177.60/266.40 = 109.10/x
  3. Step 3: Cross multiply
    177.60x = 266.40 × 109.10
  4. Step 4: Simplify right side
    177.60x = 29,062.91
  5. Step 5: Solve for x
    x = 29,062.91/177.60
  6. Step 6: Final answer
    x = 163.64

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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.