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Finding the Fourth Proportional to 218.36, 301.24 and 139.65

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Solution

The fourth proportional to 218.36, 301.24 and 139.65 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.36 : 301.24 = 139.65 : x
  2. Step 2: Convert to fraction form
    218.36/301.24 = 139.65/x
  3. Step 3: Cross multiply
    218.36x = 301.24 × 139.65
  4. Step 4: Simplify right side
    218.36x = 42,068.17
  5. Step 5: Solve for x
    x = 42,068.17/218.36
  6. Step 6: Final answer
    x = 192.66

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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.