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Finding the Fourth Proportional to 182.47, 272.47 and 145.50

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Solution

The fourth proportional to 182.47, 272.47 and 145.50 is: 217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.47 : 272.47 = 145.50 : x
  2. Step 2: Convert to fraction form
    182.47/272.47 = 145.50/x
  3. Step 3: Cross multiply
    182.47x = 272.47 × 145.50
  4. Step 4: Simplify right side
    182.47x = 39,644.39
  5. Step 5: Solve for x
    x = 39,644.39/182.47
  6. Step 6: Final answer
    x = 217.27

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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.