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Finding the Fourth Proportional to 177.68, 264.63 and 171.30

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Solution

The fourth proportional to 177.68, 264.63 and 171.30 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 264.63 = 171.30 : x
  2. Step 2: Convert to fraction form
    177.68/264.63 = 171.30/x
  3. Step 3: Cross multiply
    177.68x = 264.63 × 171.30
  4. Step 4: Simplify right side
    177.68x = 45,331.12
  5. Step 5: Solve for x
    x = 45,331.12/177.68
  6. Step 6: Final answer
    x = 255.14

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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.