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Finding the Fourth Proportional to 219.24, 302.33 and 166.78

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Solution

The fourth proportional to 219.24, 302.33 and 166.78 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 302.33 = 166.78 : x
  2. Step 2: Convert to fraction form
    219.24/302.33 = 166.78/x
  3. Step 3: Cross multiply
    219.24x = 302.33 × 166.78
  4. Step 4: Simplify right side
    219.24x = 50,423.77
  5. Step 5: Solve for x
    x = 50,423.77/219.24
  6. Step 6: Final answer
    x = 230.00

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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.