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Finding the Fourth Proportional to 205.74, 308.16 and 117.90

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Solution

The fourth proportional to 205.74, 308.16 and 117.90 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 308.16 = 117.90 : x
  2. Step 2: Convert to fraction form
    205.74/308.16 = 117.90/x
  3. Step 3: Cross multiply
    205.74x = 308.16 × 117.90
  4. Step 4: Simplify right side
    205.74x = 36,332.06
  5. Step 5: Solve for x
    x = 36,332.06/205.74
  6. Step 6: Final answer
    x = 176.59

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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.