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Finding the Fourth Proportional to 229.20, 316.08 and 150.43

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Solution

The fourth proportional to 229.20, 316.08 and 150.43 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 316.08 = 150.43 : x
  2. Step 2: Convert to fraction form
    229.20/316.08 = 150.43/x
  3. Step 3: Cross multiply
    229.20x = 316.08 × 150.43
  4. Step 4: Simplify right side
    229.20x = 47,547.91
  5. Step 5: Solve for x
    x = 47,547.91/229.20
  6. Step 6: Final answer
    x = 207.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.