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Finding the Fourth Proportional to 250.31, 345.38 and 152.00

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Solution

The fourth proportional to 250.31, 345.38 and 152.00 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.31 : 345.38 = 152.00 : x
  2. Step 2: Convert to fraction form
    250.31/345.38 = 152.00/x
  3. Step 3: Cross multiply
    250.31x = 345.38 × 152.00
  4. Step 4: Simplify right side
    250.31x = 52,495.27
  5. Step 5: Solve for x
    x = 52,495.27/250.31
  6. Step 6: Final answer
    x = 209.73

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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.