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Finding the Fourth Proportional to 177.04, 243.78 and 127.82

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Solution

The fourth proportional to 177.04, 243.78 and 127.82 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 243.78 = 127.82 : x
  2. Step 2: Convert to fraction form
    177.04/243.78 = 127.82/x
  3. Step 3: Cross multiply
    177.04x = 243.78 × 127.82
  4. Step 4: Simplify right side
    177.04x = 31,159.96
  5. Step 5: Solve for x
    x = 31,159.96/177.04
  6. Step 6: Final answer
    x = 176.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.