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Finding the Fourth Proportional to 177.34, 265.76 and 100.27

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Solution

The fourth proportional to 177.34, 265.76 and 100.27 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 265.76 = 100.27 : x
  2. Step 2: Convert to fraction form
    177.34/265.76 = 100.27/x
  3. Step 3: Cross multiply
    177.34x = 265.76 × 100.27
  4. Step 4: Simplify right side
    177.34x = 26,647.34
  5. Step 5: Solve for x
    x = 26,647.34/177.34
  6. Step 6: Final answer
    x = 150.26

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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.