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Finding the Fourth Proportional to 346.32, 519.57 and 102.85

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Solution

The fourth proportional to 346.32, 519.57 and 102.85 is: 154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.32 : 519.57 = 102.85 : x
  2. Step 2: Convert to fraction form
    346.32/519.57 = 102.85/x
  3. Step 3: Cross multiply
    346.32x = 519.57 × 102.85
  4. Step 4: Simplify right side
    346.32x = 53,437.77
  5. Step 5: Solve for x
    x = 53,437.77/346.32
  6. Step 6: Final answer
    x = 154.30

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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.