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Finding the Fourth Proportional to 177.01, 265.51 and 55.26

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Solution

The fourth proportional to 177.01, 265.51 and 55.26 is: 82.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.01 : 265.51 = 55.26 : x
  2. Step 2: Convert to fraction form
    177.01/265.51 = 55.26/x
  3. Step 3: Cross multiply
    177.01x = 265.51 × 55.26
  4. Step 4: Simplify right side
    177.01x = 14,672.15
  5. Step 5: Solve for x
    x = 14,672.15/177.01
  6. Step 6: Final answer
    x = 82.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.