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Finding the Fourth Proportional to 345.02, 475.98 and 197.52

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Solution

The fourth proportional to 345.02, 475.98 and 197.52 is: 272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 475.98 = 197.52 : x
  2. Step 2: Convert to fraction form
    345.02/475.98 = 197.52/x
  3. Step 3: Cross multiply
    345.02x = 475.98 × 197.52
  4. Step 4: Simplify right side
    345.02x = 94,015.57
  5. Step 5: Solve for x
    x = 94,015.57/345.02
  6. Step 6: Final answer
    x = 272.49

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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.