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Finding the Fourth Proportional to 294.60, 441.63 and 148.15

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Solution

The fourth proportional to 294.60, 441.63 and 148.15 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 441.63 = 148.15 : x
  2. Step 2: Convert to fraction form
    294.60/441.63 = 148.15/x
  3. Step 3: Cross multiply
    294.60x = 441.63 × 148.15
  4. Step 4: Simplify right side
    294.60x = 65,429.49
  5. Step 5: Solve for x
    x = 65,429.49/294.60
  6. Step 6: Final answer
    x = 222.10

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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.