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Finding the Fourth Proportional to 218.86, 301.71 and 153.16

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Solution

The fourth proportional to 218.86, 301.71 and 153.16 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 301.71 = 153.16 : x
  2. Step 2: Convert to fraction form
    218.86/301.71 = 153.16/x
  3. Step 3: Cross multiply
    218.86x = 301.71 × 153.16
  4. Step 4: Simplify right side
    218.86x = 46,209.90
  5. Step 5: Solve for x
    x = 46,209.90/218.86
  6. Step 6: Final answer
    x = 211.14

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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.