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Finding the Fourth Proportional to 294.65, 441.95 and 99.64

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Solution

The fourth proportional to 294.65, 441.95 and 99.64 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.65 : 441.95 = 99.64 : x
  2. Step 2: Convert to fraction form
    294.65/441.95 = 99.64/x
  3. Step 3: Cross multiply
    294.65x = 441.95 × 99.64
  4. Step 4: Simplify right side
    294.65x = 44,035.90
  5. Step 5: Solve for x
    x = 44,035.90/294.65
  6. Step 6: Final answer
    x = 149.45

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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.