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Finding the Fourth Proportional to 178.52, 265.73 and 175.91

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Solution

The fourth proportional to 178.52, 265.73 and 175.91 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.52 : 265.73 = 175.91 : x
  2. Step 2: Convert to fraction form
    178.52/265.73 = 175.91/x
  3. Step 3: Cross multiply
    178.52x = 265.73 × 175.91
  4. Step 4: Simplify right side
    178.52x = 46,742.36
  5. Step 5: Solve for x
    x = 46,742.36/178.52
  6. Step 6: Final answer
    x = 261.84

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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.