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Finding the Fourth Proportional to 240.64, 360.81 and 86.50

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Solution

The fourth proportional to 240.64, 360.81 and 86.50 is: 129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.64 : 360.81 = 86.50 : x
  2. Step 2: Convert to fraction form
    240.64/360.81 = 86.50/x
  3. Step 3: Cross multiply
    240.64x = 360.81 × 86.50
  4. Step 4: Simplify right side
    240.64x = 31,210.07
  5. Step 5: Solve for x
    x = 31,210.07/240.64
  6. Step 6: Final answer
    x = 129.70

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Why These Related Problems?

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