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Finding the Fourth Proportional to 219.80, 302.79 and 176.06

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Solution

The fourth proportional to 219.80, 302.79 and 176.06 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 302.79 = 176.06 : x
  2. Step 2: Convert to fraction form
    219.80/302.79 = 176.06/x
  3. Step 3: Cross multiply
    219.80x = 302.79 × 176.06
  4. Step 4: Simplify right side
    219.80x = 53,309.21
  5. Step 5: Solve for x
    x = 53,309.21/219.80
  6. Step 6: Final answer
    x = 242.54

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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.