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Finding the Fourth Proportional to 229.61, 342.55 and 210.79

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Solution

The fourth proportional to 229.61, 342.55 and 210.79 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 342.55 = 210.79 : x
  2. Step 2: Convert to fraction form
    229.61/342.55 = 210.79/x
  3. Step 3: Cross multiply
    229.61x = 342.55 × 210.79
  4. Step 4: Simplify right side
    229.61x = 72,205.59
  5. Step 5: Solve for x
    x = 72,205.59/229.61
  6. Step 6: Final answer
    x = 314.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.