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Finding the Fourth Proportional to 218.87, 301.86 and 145.16

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Solution

The fourth proportional to 218.87, 301.86 and 145.16 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 301.86 = 145.16 : x
  2. Step 2: Convert to fraction form
    218.87/301.86 = 145.16/x
  3. Step 3: Cross multiply
    218.87x = 301.86 × 145.16
  4. Step 4: Simplify right side
    218.87x = 43,818.00
  5. Step 5: Solve for x
    x = 43,818.00/218.87
  6. Step 6: Final answer
    x = 200.20

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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.