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Finding the Fourth Proportional to 242.88, 335.37 and 187.53

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Solution

The fourth proportional to 242.88, 335.37 and 187.53 is: 258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 335.37 = 187.53 : x
  2. Step 2: Convert to fraction form
    242.88/335.37 = 187.53/x
  3. Step 3: Cross multiply
    242.88x = 335.37 × 187.53
  4. Step 4: Simplify right side
    242.88x = 62,891.94
  5. Step 5: Solve for x
    x = 62,891.94/242.88
  6. Step 6: Final answer
    x = 258.94

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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.