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Finding the Fourth Proportional to 229.53, 343.95 and 180.89

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Solution

The fourth proportional to 229.53, 343.95 and 180.89 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 343.95 = 180.89 : x
  2. Step 2: Convert to fraction form
    229.53/343.95 = 180.89/x
  3. Step 3: Cross multiply
    229.53x = 343.95 × 180.89
  4. Step 4: Simplify right side
    229.53x = 62,219.08
  5. Step 5: Solve for x
    x = 62,219.08/229.53
  6. Step 6: Final answer
    x = 271.07

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Why These Related Problems?

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