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Finding the Fourth Proportional to 346.65, 519.97 and 141.16

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Solution

The fourth proportional to 346.65, 519.97 and 141.16 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.65 : 519.97 = 141.16 : x
  2. Step 2: Convert to fraction form
    346.65/519.97 = 141.16/x
  3. Step 3: Cross multiply
    346.65x = 519.97 × 141.16
  4. Step 4: Simplify right side
    346.65x = 73,398.26
  5. Step 5: Solve for x
    x = 73,398.26/346.65
  6. Step 6: Final answer
    x = 211.74

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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.