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Finding the Fourth Proportional to 250.07, 345 and 145.11

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Solution

The fourth proportional to 250.07, 345 and 145.11 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.07 : 345 = 145.11 : x
  2. Step 2: Convert to fraction form
    250.07/345 = 145.11/x
  3. Step 3: Cross multiply
    250.07x = 345 × 145.11
  4. Step 4: Simplify right side
    250.07x = 50,061.23
  5. Step 5: Solve for x
    x = 50,061.23/250.07
  6. Step 6: Final answer
    x = 200.19

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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.