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Finding the Fourth Proportional to 202.66, 279.68 and 115.35

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Solution

The fourth proportional to 202.66, 279.68 and 115.35 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 279.68 = 115.35 : x
  2. Step 2: Convert to fraction form
    202.66/279.68 = 115.35/x
  3. Step 3: Cross multiply
    202.66x = 279.68 × 115.35
  4. Step 4: Simplify right side
    202.66x = 32,261.09
  5. Step 5: Solve for x
    x = 32,261.09/202.66
  6. Step 6: Final answer
    x = 159.19

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Why These Related Problems?

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