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Finding the Fourth Proportional to 301.59, 416.10 and 202.02

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Solution

The fourth proportional to 301.59, 416.10 and 202.02 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 416.10 = 202.02 : x
  2. Step 2: Convert to fraction form
    301.59/416.10 = 202.02/x
  3. Step 3: Cross multiply
    301.59x = 416.10 × 202.02
  4. Step 4: Simplify right side
    301.59x = 84,060.52
  5. Step 5: Solve for x
    x = 84,060.52/301.59
  6. Step 6: Final answer
    x = 278.72

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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.