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Finding the Fourth Proportional to 341.04, 511.17 and 146.20

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Solution

The fourth proportional to 341.04, 511.17 and 146.20 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.04 : 511.17 = 146.20 : x
  2. Step 2: Convert to fraction form
    341.04/511.17 = 146.20/x
  3. Step 3: Cross multiply
    341.04x = 511.17 × 146.20
  4. Step 4: Simplify right side
    341.04x = 74,733.05
  5. Step 5: Solve for x
    x = 74,733.05/341.04
  6. Step 6: Final answer
    x = 219.13

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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.