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Finding the Fourth Proportional to 218.88, 302.64 and 202.56

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Solution

The fourth proportional to 218.88, 302.64 and 202.56 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 302.64 = 202.56 : x
  2. Step 2: Convert to fraction form
    218.88/302.64 = 202.56/x
  3. Step 3: Cross multiply
    218.88x = 302.64 × 202.56
  4. Step 4: Simplify right side
    218.88x = 61,302.76
  5. Step 5: Solve for x
    x = 61,302.76/218.88
  6. Step 6: Final answer
    x = 280.07

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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.