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Finding the Fourth Proportional to 177.64, 266.30 and 90.93

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Solution

The fourth proportional to 177.64, 266.30 and 90.93 is: 136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 266.30 = 90.93 : x
  2. Step 2: Convert to fraction form
    177.64/266.30 = 90.93/x
  3. Step 3: Cross multiply
    177.64x = 266.30 × 90.93
  4. Step 4: Simplify right side
    177.64x = 24,213.55
  5. Step 5: Solve for x
    x = 24,213.55/177.64
  6. Step 6: Final answer
    x = 136.31

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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.