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Finding the Fourth Proportional to 177.17, 264.26 and 171.77

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Solution

The fourth proportional to 177.17, 264.26 and 171.77 is: 256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.17 : 264.26 = 171.77 : x
  2. Step 2: Convert to fraction form
    177.17/264.26 = 171.77/x
  3. Step 3: Cross multiply
    177.17x = 264.26 × 171.77
  4. Step 4: Simplify right side
    177.17x = 45,389.76
  5. Step 5: Solve for x
    x = 45,389.76/177.17
  6. Step 6: Final answer
    x = 256.20

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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.