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Finding the Fourth Proportional to 341.64, 512.28 and 195.39

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Solution

The fourth proportional to 341.64, 512.28 and 195.39 is: 292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 512.28 = 195.39 : x
  2. Step 2: Convert to fraction form
    341.64/512.28 = 195.39/x
  3. Step 3: Cross multiply
    341.64x = 512.28 × 195.39
  4. Step 4: Simplify right side
    341.64x = 100,094.39
  5. Step 5: Solve for x
    x = 100,094.39/341.64
  6. Step 6: Final answer
    x = 292.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.