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Finding the Fourth Proportional to 182.16, 272.76 and 147.68

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Solution

The fourth proportional to 182.16, 272.76 and 147.68 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 272.76 = 147.68 : x
  2. Step 2: Convert to fraction form
    182.16/272.76 = 147.68/x
  3. Step 3: Cross multiply
    182.16x = 272.76 × 147.68
  4. Step 4: Simplify right side
    182.16x = 40,281.20
  5. Step 5: Solve for x
    x = 40,281.20/182.16
  6. Step 6: Final answer
    x = 221.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.