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Finding the Fourth Proportional to 240.21, 360.10 and 86.10

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Solution

The fourth proportional to 240.21, 360.10 and 86.10 is: 129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 360.10 = 86.10 : x
  2. Step 2: Convert to fraction form
    240.21/360.10 = 86.10/x
  3. Step 3: Cross multiply
    240.21x = 360.10 × 86.10
  4. Step 4: Simplify right side
    240.21x = 31,005.68
  5. Step 5: Solve for x
    x = 31,005.68/240.21
  6. Step 6: Final answer
    x = 129.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.