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Finding the Fourth Proportional to 177.14, 264.16 and 175.52

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Solution

The fourth proportional to 177.14, 264.16 and 175.52 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 264.16 = 175.52 : x
  2. Step 2: Convert to fraction form
    177.14/264.16 = 175.52/x
  3. Step 3: Cross multiply
    177.14x = 264.16 × 175.52
  4. Step 4: Simplify right side
    177.14x = 46,365.36
  5. Step 5: Solve for x
    x = 46,365.36/177.14
  6. Step 6: Final answer
    x = 261.74

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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.