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Finding the Fourth Proportional to 219.96, 328.44 and 187.56

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Solution

The fourth proportional to 219.96, 328.44 and 187.56 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.96 : 328.44 = 187.56 : x
  2. Step 2: Convert to fraction form
    219.96/328.44 = 187.56/x
  3. Step 3: Cross multiply
    219.96x = 328.44 × 187.56
  4. Step 4: Simplify right side
    219.96x = 61,602.21
  5. Step 5: Solve for x
    x = 61,602.21/219.96
  6. Step 6: Final answer
    x = 280.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.