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Finding the Fourth Proportional to 242.98, 335.01 and 193.57

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Solution

The fourth proportional to 242.98, 335.01 and 193.57 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.98 : 335.01 = 193.57 : x
  2. Step 2: Convert to fraction form
    242.98/335.01 = 193.57/x
  3. Step 3: Cross multiply
    242.98x = 335.01 × 193.57
  4. Step 4: Simplify right side
    242.98x = 64,847.89
  5. Step 5: Solve for x
    x = 64,847.89/242.98
  6. Step 6: Final answer
    x = 266.89

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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.