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Finding the Fourth Proportional to 219.48, 328.80 and 165.60

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Solution

The fourth proportional to 219.48, 328.80 and 165.60 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.48 : 328.80 = 165.60 : x
  2. Step 2: Convert to fraction form
    219.48/328.80 = 165.60/x
  3. Step 3: Cross multiply
    219.48x = 328.80 × 165.60
  4. Step 4: Simplify right side
    219.48x = 54,449.28
  5. Step 5: Solve for x
    x = 54,449.28/219.48
  6. Step 6: Final answer
    x = 248.08

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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.