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Finding the Fourth Proportional to 177.02, 265.73 and 141.11

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Solution

The fourth proportional to 177.02, 265.73 and 141.11 is: 211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 265.73 = 141.11 : x
  2. Step 2: Convert to fraction form
    177.02/265.73 = 141.11/x
  3. Step 3: Cross multiply
    177.02x = 265.73 × 141.11
  4. Step 4: Simplify right side
    177.02x = 37,497.16
  5. Step 5: Solve for x
    x = 37,497.16/177.02
  6. Step 6: Final answer
    x = 211.82

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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.