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Finding the Fourth Proportional to 341.32, 512.07 and 146.23

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Solution

The fourth proportional to 341.32, 512.07 and 146.23 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.32 : 512.07 = 146.23 : x
  2. Step 2: Convert to fraction form
    341.32/512.07 = 146.23/x
  3. Step 3: Cross multiply
    341.32x = 512.07 × 146.23
  4. Step 4: Simplify right side
    341.32x = 74,877.44
  5. Step 5: Solve for x
    x = 74,877.44/341.32
  6. Step 6: Final answer
    x = 219.38

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Why These Related Problems?

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