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Finding the Fourth Proportional to 229.01, 315.92 and 155.30

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Solution

The fourth proportional to 229.01, 315.92 and 155.30 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.01 : 315.92 = 155.30 : x
  2. Step 2: Convert to fraction form
    229.01/315.92 = 155.30/x
  3. Step 3: Cross multiply
    229.01x = 315.92 × 155.30
  4. Step 4: Simplify right side
    229.01x = 49,060.02
  5. Step 5: Solve for x
    x = 49,060.02/229.01
  6. Step 6: Final answer
    x = 214.23

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Why These Related Problems?

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