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Finding the Fourth Proportional to 346.84, 520.28 and 141.56

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Solution

The fourth proportional to 346.84, 520.28 and 141.56 is: 212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 520.28 = 141.56 : x
  2. Step 2: Convert to fraction form
    346.84/520.28 = 141.56/x
  3. Step 3: Cross multiply
    346.84x = 520.28 × 141.56
  4. Step 4: Simplify right side
    346.84x = 73,650.84
  5. Step 5: Solve for x
    x = 73,650.84/346.84
  6. Step 6: Final answer
    x = 212.35

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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.