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Finding the Fourth Proportional to 291.93, 402.93 and 187.11

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Solution

The fourth proportional to 291.93, 402.93 and 187.11 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.93 : 402.93 = 187.11 : x
  2. Step 2: Convert to fraction form
    291.93/402.93 = 187.11/x
  3. Step 3: Cross multiply
    291.93x = 402.93 × 187.11
  4. Step 4: Simplify right side
    291.93x = 75,392.23
  5. Step 5: Solve for x
    x = 75,392.23/291.93
  6. Step 6: Final answer
    x = 258.25

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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.