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Finding the Fourth Proportional to 302.42, 416.84 and 202.80

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Solution

The fourth proportional to 302.42, 416.84 and 202.80 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 416.84 = 202.80 : x
  2. Step 2: Convert to fraction form
    302.42/416.84 = 202.80/x
  3. Step 3: Cross multiply
    302.42x = 416.84 × 202.80
  4. Step 4: Simplify right side
    302.42x = 84,535.70
  5. Step 5: Solve for x
    x = 84,535.70/302.42
  6. Step 6: Final answer
    x = 279.53

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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.