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Finding the Fourth Proportional to 341.20, 511.74 and 146.16

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Solution

The fourth proportional to 341.20, 511.74 and 146.16 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.20 : 511.74 = 146.16 : x
  2. Step 2: Convert to fraction form
    341.20/511.74 = 146.16/x
  3. Step 3: Cross multiply
    341.20x = 511.74 × 146.16
  4. Step 4: Simplify right side
    341.20x = 74,795.92
  5. Step 5: Solve for x
    x = 74,795.92/341.20
  6. Step 6: Final answer
    x = 219.21

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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.