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Finding the Fourth Proportional to 177.68, 264.70 and 175.76

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Solution

The fourth proportional to 177.68, 264.70 and 175.76 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 264.70 = 175.76 : x
  2. Step 2: Convert to fraction form
    177.68/264.70 = 175.76/x
  3. Step 3: Cross multiply
    177.68x = 264.70 × 175.76
  4. Step 4: Simplify right side
    177.68x = 46,523.67
  5. Step 5: Solve for x
    x = 46,523.67/177.68
  6. Step 6: Final answer
    x = 261.84

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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.