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Finding the Fourth Proportional to 225.77, 311.72 and 152.24

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Solution

The fourth proportional to 225.77, 311.72 and 152.24 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.77 : 311.72 = 152.24 : x
  2. Step 2: Convert to fraction form
    225.77/311.72 = 152.24/x
  3. Step 3: Cross multiply
    225.77x = 311.72 × 152.24
  4. Step 4: Simplify right side
    225.77x = 47,453.93
  5. Step 5: Solve for x
    x = 47,453.93/225.77
  6. Step 6: Final answer
    x = 210.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.