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Finding the Fourth Proportional to 182.34, 271.61 and 178.70

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Solution

The fourth proportional to 182.34, 271.61 and 178.70 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 271.61 = 178.70 : x
  2. Step 2: Convert to fraction form
    182.34/271.61 = 178.70/x
  3. Step 3: Cross multiply
    182.34x = 271.61 × 178.70
  4. Step 4: Simplify right side
    182.34x = 48,534.46
  5. Step 5: Solve for x
    x = 48,534.46/182.34
  6. Step 6: Final answer
    x = 266.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.