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Finding the Fourth Proportional to 182.48, 252 and 127.14

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Solution

The fourth proportional to 182.48, 252 and 127.14 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 252 = 127.14 : x
  2. Step 2: Convert to fraction form
    182.48/252 = 127.14/x
  3. Step 3: Cross multiply
    182.48x = 252 × 127.14
  4. Step 4: Simplify right side
    182.48x = 32,039.28
  5. Step 5: Solve for x
    x = 32,039.28/182.48
  6. Step 6: Final answer
    x = 175.58

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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.