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Finding the Fourth Proportional to 374.19, 560.80 and 154.56

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Solution

The fourth proportional to 374.19, 560.80 and 154.56 is: 231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.19 : 560.80 = 154.56 : x
  2. Step 2: Convert to fraction form
    374.19/560.80 = 154.56/x
  3. Step 3: Cross multiply
    374.19x = 560.80 × 154.56
  4. Step 4: Simplify right side
    374.19x = 86,679.54
  5. Step 5: Solve for x
    x = 86,679.54/374.19
  6. Step 6: Final answer
    x = 231.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.