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Finding the Fourth Proportional to 229.42, 315.86 and 213.02

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Solution

The fourth proportional to 229.42, 315.86 and 213.02 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 315.86 = 213.02 : x
  2. Step 2: Convert to fraction form
    229.42/315.86 = 213.02/x
  3. Step 3: Cross multiply
    229.42x = 315.86 × 213.02
  4. Step 4: Simplify right side
    229.42x = 67,284.50
  5. Step 5: Solve for x
    x = 67,284.50/229.42
  6. Step 6: Final answer
    x = 293.28

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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.