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Finding the Fourth Proportional to 229.69, 343.95 and 152.42

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Solution

The fourth proportional to 229.69, 343.95 and 152.42 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.69 : 343.95 = 152.42 : x
  2. Step 2: Convert to fraction form
    229.69/343.95 = 152.42/x
  3. Step 3: Cross multiply
    229.69x = 343.95 × 152.42
  4. Step 4: Simplify right side
    229.69x = 52,422.57
  5. Step 5: Solve for x
    x = 52,422.57/229.69
  6. Step 6: Final answer
    x = 228.24

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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.