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Finding the Fourth Proportional to 218.33, 328.95 and 180.65

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Solution

The fourth proportional to 218.33, 328.95 and 180.65 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.33 : 328.95 = 180.65 : x
  2. Step 2: Convert to fraction form
    218.33/328.95 = 180.65/x
  3. Step 3: Cross multiply
    218.33x = 328.95 × 180.65
  4. Step 4: Simplify right side
    218.33x = 59,423.17
  5. Step 5: Solve for x
    x = 59,423.17/218.33
  6. Step 6: Final answer
    x = 272.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.