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Finding the Fourth Proportional to 177.47, 265.76 and 119.63

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Solution

The fourth proportional to 177.47, 265.76 and 119.63 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.47 : 265.76 = 119.63 : x
  2. Step 2: Convert to fraction form
    177.47/265.76 = 119.63/x
  3. Step 3: Cross multiply
    177.47x = 265.76 × 119.63
  4. Step 4: Simplify right side
    177.47x = 31,792.27
  5. Step 5: Solve for x
    x = 31,792.27/177.47
  6. Step 6: Final answer
    x = 179.14

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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.