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Finding the Fourth Proportional to 202.30, 279.16 and 114.98

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Solution

The fourth proportional to 202.30, 279.16 and 114.98 is: 158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 279.16 = 114.98 : x
  2. Step 2: Convert to fraction form
    202.30/279.16 = 114.98/x
  3. Step 3: Cross multiply
    202.30x = 279.16 × 114.98
  4. Step 4: Simplify right side
    202.30x = 32,096.13
  5. Step 5: Solve for x
    x = 32,096.13/202.30
  6. Step 6: Final answer
    x = 158.66

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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.