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Finding the Fourth Proportional to 241.13, 360.23 and 153.77

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Solution

The fourth proportional to 241.13, 360.23 and 153.77 is: 229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.13 : 360.23 = 153.77 : x
  2. Step 2: Convert to fraction form
    241.13/360.23 = 153.77/x
  3. Step 3: Cross multiply
    241.13x = 360.23 × 153.77
  4. Step 4: Simplify right side
    241.13x = 55,392.95
  5. Step 5: Solve for x
    x = 55,392.95/241.13
  6. Step 6: Final answer
    x = 229.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.