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Finding the Fourth Proportional to 177.88, 266.46 and 145.23

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Solution

The fourth proportional to 177.88, 266.46 and 145.23 is: 217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 266.46 = 145.23 : x
  2. Step 2: Convert to fraction form
    177.88/266.46 = 145.23/x
  3. Step 3: Cross multiply
    177.88x = 266.46 × 145.23
  4. Step 4: Simplify right side
    177.88x = 38,697.44
  5. Step 5: Solve for x
    x = 38,697.44/177.88
  6. Step 6: Final answer
    x = 217.55

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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.