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Finding the Fourth Proportional to 180.59, 271.07 and 140.45

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Solution

The fourth proportional to 180.59, 271.07 and 140.45 is: 210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.59 : 271.07 = 140.45 : x
  2. Step 2: Convert to fraction form
    180.59/271.07 = 140.45/x
  3. Step 3: Cross multiply
    180.59x = 271.07 × 140.45
  4. Step 4: Simplify right side
    180.59x = 38,072.81
  5. Step 5: Solve for x
    x = 38,072.81/180.59
  6. Step 6: Final answer
    x = 210.82

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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.