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Finding the Fourth Proportional to 199.06, 296.87 and 177.59

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Solution

The fourth proportional to 199.06, 296.87 and 177.59 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 296.87 = 177.59 : x
  2. Step 2: Convert to fraction form
    199.06/296.87 = 177.59/x
  3. Step 3: Cross multiply
    199.06x = 296.87 × 177.59
  4. Step 4: Simplify right side
    199.06x = 52,721.00
  5. Step 5: Solve for x
    x = 52,721.00/199.06
  6. Step 6: Final answer
    x = 264.85

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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.