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Finding the Fourth Proportional to 178.97, 266.18 and 175.52

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Solution

The fourth proportional to 178.97, 266.18 and 175.52 is: 261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 266.18 = 175.52 : x
  2. Step 2: Convert to fraction form
    178.97/266.18 = 175.52/x
  3. Step 3: Cross multiply
    178.97x = 266.18 × 175.52
  4. Step 4: Simplify right side
    178.97x = 46,719.70
  5. Step 5: Solve for x
    x = 46,719.70/178.97
  6. Step 6: Final answer
    x = 261.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.