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Finding the Fourth Proportional to 294.84, 441.59 and 150.26

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Solution

The fourth proportional to 294.84, 441.59 and 150.26 is: 225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 441.59 = 150.26 : x
  2. Step 2: Convert to fraction form
    294.84/441.59 = 150.26/x
  3. Step 3: Cross multiply
    294.84x = 441.59 × 150.26
  4. Step 4: Simplify right side
    294.84x = 66,350.35
  5. Step 5: Solve for x
    x = 66,350.35/294.84
  6. Step 6: Final answer
    x = 225.04

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