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Finding the Fourth Proportional to 210.57, 314.15 and 197.79

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Solution

The fourth proportional to 210.57, 314.15 and 197.79 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 314.15 = 197.79 : x
  2. Step 2: Convert to fraction form
    210.57/314.15 = 197.79/x
  3. Step 3: Cross multiply
    210.57x = 314.15 × 197.79
  4. Step 4: Simplify right side
    210.57x = 62,134.74
  5. Step 5: Solve for x
    x = 62,134.74/210.57
  6. Step 6: Final answer
    x = 295.08

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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.