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Finding the Fourth Proportional to 177.57, 266.34 and 175.95

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Solution

The fourth proportional to 177.57, 266.34 and 175.95 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.57 : 266.34 = 175.95 : x
  2. Step 2: Convert to fraction form
    177.57/266.34 = 175.95/x
  3. Step 3: Cross multiply
    177.57x = 266.34 × 175.95
  4. Step 4: Simplify right side
    177.57x = 46,862.52
  5. Step 5: Solve for x
    x = 46,862.52/177.57
  6. Step 6: Final answer
    x = 263.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.