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Finding the Fourth Proportional to 251.84, 347.46 and 146.90

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Solution

The fourth proportional to 251.84, 347.46 and 146.90 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 347.46 = 146.90 : x
  2. Step 2: Convert to fraction form
    251.84/347.46 = 146.90/x
  3. Step 3: Cross multiply
    251.84x = 347.46 × 146.90
  4. Step 4: Simplify right side
    251.84x = 51,041.87
  5. Step 5: Solve for x
    x = 51,041.87/251.84
  6. Step 6: Final answer
    x = 202.68

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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.