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Finding the Fourth Proportional to 202.40, 279.48 and 158.72

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Solution

The fourth proportional to 202.40, 279.48 and 158.72 is: 219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 279.48 = 158.72 : x
  2. Step 2: Convert to fraction form
    202.40/279.48 = 158.72/x
  3. Step 3: Cross multiply
    202.40x = 279.48 × 158.72
  4. Step 4: Simplify right side
    202.40x = 44,359.07
  5. Step 5: Solve for x
    x = 44,359.07/202.40
  6. Step 6: Final answer
    x = 219.17

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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.