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Finding the Fourth Proportional to 202.52, 279.45 and 114.00

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Solution

The fourth proportional to 202.52, 279.45 and 114.00 is: 157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 279.45 = 114.00 : x
  2. Step 2: Convert to fraction form
    202.52/279.45 = 114.00/x
  3. Step 3: Cross multiply
    202.52x = 279.45 × 114.00
  4. Step 4: Simplify right side
    202.52x = 31,857.43
  5. Step 5: Solve for x
    x = 31,857.43/202.52
  6. Step 6: Final answer
    x = 157.31

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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.