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Finding the Fourth Proportional to 237.02, 326.78 and 187.14

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Solution

The fourth proportional to 237.02, 326.78 and 187.14 is: 258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.02 : 326.78 = 187.14 : x
  2. Step 2: Convert to fraction form
    237.02/326.78 = 187.14/x
  3. Step 3: Cross multiply
    237.02x = 326.78 × 187.14
  4. Step 4: Simplify right side
    237.02x = 61,153.61
  5. Step 5: Solve for x
    x = 61,153.61/237.02
  6. Step 6: Final answer
    x = 258.01

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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.