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Finding the Fourth Proportional to 202.95, 280.05 and 114.40

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Solution

The fourth proportional to 202.95, 280.05 and 114.40 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 280.05 = 114.40 : x
  2. Step 2: Convert to fraction form
    202.95/280.05 = 114.40/x
  3. Step 3: Cross multiply
    202.95x = 280.05 × 114.40
  4. Step 4: Simplify right side
    202.95x = 32,037.08
  5. Step 5: Solve for x
    x = 32,037.08/202.95
  6. Step 6: Final answer
    x = 157.86

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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.