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Finding the Fourth Proportional to 177.32, 264.80 and 175.41

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Solution

The fourth proportional to 177.32, 264.80 and 175.41 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 264.80 = 175.41 : x
  2. Step 2: Convert to fraction form
    177.32/264.80 = 175.41/x
  3. Step 3: Cross multiply
    177.32x = 264.80 × 175.41
  4. Step 4: Simplify right side
    177.32x = 46,448.57
  5. Step 5: Solve for x
    x = 46,448.57/177.32
  6. Step 6: Final answer
    x = 261.95

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