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Finding the Fourth Proportional to 213.49, 294.59 and 124.98

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Solution

The fourth proportional to 213.49, 294.59 and 124.98 is: 172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.49 : 294.59 = 124.98 : x
  2. Step 2: Convert to fraction form
    213.49/294.59 = 124.98/x
  3. Step 3: Cross multiply
    213.49x = 294.59 × 124.98
  4. Step 4: Simplify right side
    213.49x = 36,818.02
  5. Step 5: Solve for x
    x = 36,818.02/213.49
  6. Step 6: Final answer
    x = 172.46

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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.