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Finding the Fourth Proportional to 251.55, 347.10 and 146.63

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Solution

The fourth proportional to 251.55, 347.10 and 146.63 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.55 : 347.10 = 146.63 : x
  2. Step 2: Convert to fraction form
    251.55/347.10 = 146.63/x
  3. Step 3: Cross multiply
    251.55x = 347.10 × 146.63
  4. Step 4: Simplify right side
    251.55x = 50,895.27
  5. Step 5: Solve for x
    x = 50,895.27/251.55
  6. Step 6: Final answer
    x = 202.33

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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.