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Finding the Fourth Proportional to 202.32, 279.24 and 127.65

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Solution

The fourth proportional to 202.32, 279.24 and 127.65 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 279.24 = 127.65 : x
  2. Step 2: Convert to fraction form
    202.32/279.24 = 127.65/x
  3. Step 3: Cross multiply
    202.32x = 279.24 × 127.65
  4. Step 4: Simplify right side
    202.32x = 35,644.99
  5. Step 5: Solve for x
    x = 35,644.99/202.32
  6. Step 6: Final answer
    x = 176.18

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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.