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Finding the Fourth Proportional to 219.65, 303.54 and 180.24

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Solution

The fourth proportional to 219.65, 303.54 and 180.24 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.65 : 303.54 = 180.24 : x
  2. Step 2: Convert to fraction form
    219.65/303.54 = 180.24/x
  3. Step 3: Cross multiply
    219.65x = 303.54 × 180.24
  4. Step 4: Simplify right side
    219.65x = 54,710.05
  5. Step 5: Solve for x
    x = 54,710.05/219.65
  6. Step 6: Final answer
    x = 249.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.