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Finding the Fourth Proportional to 202.62, 279.80 and 149.70

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Solution

The fourth proportional to 202.62, 279.80 and 149.70 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 279.80 = 149.70 : x
  2. Step 2: Convert to fraction form
    202.62/279.80 = 149.70/x
  3. Step 3: Cross multiply
    202.62x = 279.80 × 149.70
  4. Step 4: Simplify right side
    202.62x = 41,886.06
  5. Step 5: Solve for x
    x = 41,886.06/202.62
  6. Step 6: Final answer
    x = 206.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.