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Finding the Fourth Proportional to 202.59, 279.99 and 150.21

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Solution

The fourth proportional to 202.59, 279.99 and 150.21 is: 207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 279.99 = 150.21 : x
  2. Step 2: Convert to fraction form
    202.59/279.99 = 150.21/x
  3. Step 3: Cross multiply
    202.59x = 279.99 × 150.21
  4. Step 4: Simplify right side
    202.59x = 42,057.30
  5. Step 5: Solve for x
    x = 42,057.30/202.59
  6. Step 6: Final answer
    x = 207.60

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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.