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Finding the Fourth Proportional to 294.45, 441.40 and 150.13

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Solution

The fourth proportional to 294.45, 441.40 and 150.13 is: 225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 441.40 = 150.13 : x
  2. Step 2: Convert to fraction form
    294.45/441.40 = 150.13/x
  3. Step 3: Cross multiply
    294.45x = 441.40 × 150.13
  4. Step 4: Simplify right side
    294.45x = 66,267.38
  5. Step 5: Solve for x
    x = 66,267.38/294.45
  6. Step 6: Final answer
    x = 225.05

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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.