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Finding the Fourth Proportional to 250.66, 345.51 and 152.23

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Solution

The fourth proportional to 250.66, 345.51 and 152.23 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.66 : 345.51 = 152.23 : x
  2. Step 2: Convert to fraction form
    250.66/345.51 = 152.23/x
  3. Step 3: Cross multiply
    250.66x = 345.51 × 152.23
  4. Step 4: Simplify right side
    250.66x = 52,596.99
  5. Step 5: Solve for x
    x = 52,596.99/250.66
  6. Step 6: Final answer
    x = 209.83

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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.