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Finding the Fourth Proportional to 219, 328.94 and 186.54

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Solution

The fourth proportional to 219, 328.94 and 186.54 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 328.94 = 186.54 : x
  2. Step 2: Convert to fraction form
    219/328.94 = 186.54/x
  3. Step 3: Cross multiply
    219x = 328.94 × 186.54
  4. Step 4: Simplify right side
    219x = 61,360.47
  5. Step 5: Solve for x
    x = 61,360.47/219
  6. Step 6: Final answer
    x = 280.18

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Why These Related Problems?

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