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Finding the Fourth Proportional to 242.77, 335.50 and 215.77

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Solution

The fourth proportional to 242.77, 335.50 and 215.77 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.77 : 335.50 = 215.77 : x
  2. Step 2: Convert to fraction form
    242.77/335.50 = 215.77/x
  3. Step 3: Cross multiply
    242.77x = 335.50 × 215.77
  4. Step 4: Simplify right side
    242.77x = 72,391.94
  5. Step 5: Solve for x
    x = 72,391.94/242.77
  6. Step 6: Final answer
    x = 298.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.