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Finding the Fourth Proportional to 229.04, 315.24 and 196.16

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Solution

The fourth proportional to 229.04, 315.24 and 196.16 is: 269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.04 : 315.24 = 196.16 : x
  2. Step 2: Convert to fraction form
    229.04/315.24 = 196.16/x
  3. Step 3: Cross multiply
    229.04x = 315.24 × 196.16
  4. Step 4: Simplify right side
    229.04x = 61,837.48
  5. Step 5: Solve for x
    x = 61,837.48/229.04
  6. Step 6: Final answer
    x = 269.99

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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.