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Finding the Fourth Proportional to 218.38, 300.94 and 152.77

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Solution

The fourth proportional to 218.38, 300.94 and 152.77 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.38 : 300.94 = 152.77 : x
  2. Step 2: Convert to fraction form
    218.38/300.94 = 152.77/x
  3. Step 3: Cross multiply
    218.38x = 300.94 × 152.77
  4. Step 4: Simplify right side
    218.38x = 45,974.60
  5. Step 5: Solve for x
    x = 45,974.60/218.38
  6. Step 6: Final answer
    x = 210.53

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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.