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Finding the Fourth Proportional to 210.42, 315.63 and 129.74

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Solution

The fourth proportional to 210.42, 315.63 and 129.74 is: 194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 315.63 = 129.74 : x
  2. Step 2: Convert to fraction form
    210.42/315.63 = 129.74/x
  3. Step 3: Cross multiply
    210.42x = 315.63 × 129.74
  4. Step 4: Simplify right side
    210.42x = 40,948.26
  5. Step 5: Solve for x
    x = 40,948.26/210.42
  6. Step 6: Final answer
    x = 194.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.