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Finding the Fourth Proportional to 218.34, 300.78 and 207.36

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Solution

The fourth proportional to 218.34, 300.78 and 207.36 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 300.78 = 207.36 : x
  2. Step 2: Convert to fraction form
    218.34/300.78 = 207.36/x
  3. Step 3: Cross multiply
    218.34x = 300.78 × 207.36
  4. Step 4: Simplify right side
    218.34x = 62,369.74
  5. Step 5: Solve for x
    x = 62,369.74/218.34
  6. Step 6: Final answer
    x = 285.65

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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.