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Finding the Fourth Proportional to 240.21, 360.28 and 116.77

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Solution

The fourth proportional to 240.21, 360.28 and 116.77 is: 175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 360.28 = 116.77 : x
  2. Step 2: Convert to fraction form
    240.21/360.28 = 116.77/x
  3. Step 3: Cross multiply
    240.21x = 360.28 × 116.77
  4. Step 4: Simplify right side
    240.21x = 42,069.90
  5. Step 5: Solve for x
    x = 42,069.90/240.21
  6. Step 6: Final answer
    x = 175.14

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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.