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Finding the Fourth Proportional to 220.47, 304.61 and 174.20

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Solution

The fourth proportional to 220.47, 304.61 and 174.20 is: 240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.47 : 304.61 = 174.20 : x
  2. Step 2: Convert to fraction form
    220.47/304.61 = 174.20/x
  3. Step 3: Cross multiply
    220.47x = 304.61 × 174.20
  4. Step 4: Simplify right side
    220.47x = 53,061.54
  5. Step 5: Solve for x
    x = 53,061.54/220.47
  6. Step 6: Final answer
    x = 240.67

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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.