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Finding the Fourth Proportional to 346.84, 520.25 and 141.40

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Solution

The fourth proportional to 346.84, 520.25 and 141.40 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 520.25 = 141.40 : x
  2. Step 2: Convert to fraction form
    346.84/520.25 = 141.40/x
  3. Step 3: Cross multiply
    346.84x = 520.25 × 141.40
  4. Step 4: Simplify right side
    346.84x = 73,563.29
  5. Step 5: Solve for x
    x = 73,563.29/346.84
  6. Step 6: Final answer
    x = 212.10

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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.