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Finding the Fourth Proportional to 868.16, 1,302.14 and 218.84

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Solution

The fourth proportional to 868.16, 1,302.14 and 218.84 is: 328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,302.14 = 218.84 : x
  2. Step 2: Convert to fraction form
    868.16/1,302.14 = 218.84/x
  3. Step 3: Cross multiply
    868.16x = 1,302.14 × 218.84
  4. Step 4: Simplify right side
    868.16x = 284,959.22
  5. Step 5: Solve for x
    x = 284,959.22/868.16
  6. Step 6: Final answer
    x = 328.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.