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Finding the Fourth Proportional to 177.28, 263.81 and 174.52

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Solution

The fourth proportional to 177.28, 263.81 and 174.52 is: 259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 263.81 = 174.52 : x
  2. Step 2: Convert to fraction form
    177.28/263.81 = 174.52/x
  3. Step 3: Cross multiply
    177.28x = 263.81 × 174.52
  4. Step 4: Simplify right side
    177.28x = 46,040.12
  5. Step 5: Solve for x
    x = 46,040.12/177.28
  6. Step 6: Final answer
    x = 259.70

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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.