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Finding the Fourth Proportional to 202.12, 278.93 and 114.78

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Solution

The fourth proportional to 202.12, 278.93 and 114.78 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 278.93 = 114.78 : x
  2. Step 2: Convert to fraction form
    202.12/278.93 = 114.78/x
  3. Step 3: Cross multiply
    202.12x = 278.93 × 114.78
  4. Step 4: Simplify right side
    202.12x = 32,015.59
  5. Step 5: Solve for x
    x = 32,015.59/202.12
  6. Step 6: Final answer
    x = 158.40

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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.