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Finding the Fourth Proportional to 177.58, 267.50 and 175.96

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Solution

The fourth proportional to 177.58, 267.50 and 175.96 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 267.50 = 175.96 : x
  2. Step 2: Convert to fraction form
    177.58/267.50 = 175.96/x
  3. Step 3: Cross multiply
    177.58x = 267.50 × 175.96
  4. Step 4: Simplify right side
    177.58x = 47,069.30
  5. Step 5: Solve for x
    x = 47,069.30/177.58
  6. Step 6: Final answer
    x = 265.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.