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Finding the Fourth Proportional to 177.93, 265.81 and 126.17

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Solution

The fourth proportional to 177.93, 265.81 and 126.17 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 265.81 = 126.17 : x
  2. Step 2: Convert to fraction form
    177.93/265.81 = 126.17/x
  3. Step 3: Cross multiply
    177.93x = 265.81 × 126.17
  4. Step 4: Simplify right side
    177.93x = 33,536.86
  5. Step 5: Solve for x
    x = 33,536.86/177.93
  6. Step 6: Final answer
    x = 188.48

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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.