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Finding the Fourth Proportional to 209.98, 314.95 and 55.91

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Solution

The fourth proportional to 209.98, 314.95 and 55.91 is: 83.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 314.95 = 55.91 : x
  2. Step 2: Convert to fraction form
    209.98/314.95 = 55.91/x
  3. Step 3: Cross multiply
    209.98x = 314.95 × 55.91
  4. Step 4: Simplify right side
    209.98x = 17,607.28
  5. Step 5: Solve for x
    x = 17,607.28/209.98
  6. Step 6: Final answer
    x = 83.85

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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.