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Finding the Fourth Proportional to 294.02, 441.15 and 157.06

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Solution

The fourth proportional to 294.02, 441.15 and 157.06 is: 235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.02 : 441.15 = 157.06 : x
  2. Step 2: Convert to fraction form
    294.02/441.15 = 157.06/x
  3. Step 3: Cross multiply
    294.02x = 441.15 × 157.06
  4. Step 4: Simplify right side
    294.02x = 69,287.02
  5. Step 5: Solve for x
    x = 69,287.02/294.02
  6. Step 6: Final answer
    x = 235.65

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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.