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Finding the Fourth Proportional to 177.07, 265.67 and 100.09

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Solution

The fourth proportional to 177.07, 265.67 and 100.09 is: 150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.07 : 265.67 = 100.09 : x
  2. Step 2: Convert to fraction form
    177.07/265.67 = 100.09/x
  3. Step 3: Cross multiply
    177.07x = 265.67 × 100.09
  4. Step 4: Simplify right side
    177.07x = 26,590.91
  5. Step 5: Solve for x
    x = 26,590.91/177.07
  6. Step 6: Final answer
    x = 150.17

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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.