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Finding the Fourth Proportional to 219, 328.16 and 170.76

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Solution

The fourth proportional to 219, 328.16 and 170.76 is: 255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 328.16 = 170.76 : x
  2. Step 2: Convert to fraction form
    219/328.16 = 170.76/x
  3. Step 3: Cross multiply
    219x = 328.16 × 170.76
  4. Step 4: Simplify right side
    219x = 56,036.60
  5. Step 5: Solve for x
    x = 56,036.60/219
  6. Step 6: Final answer
    x = 255.87

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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.