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Finding the Fourth Proportional to 346.45, 520.05 and 141.16

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Solution

The fourth proportional to 346.45, 520.05 and 141.16 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.45 : 520.05 = 141.16 : x
  2. Step 2: Convert to fraction form
    346.45/520.05 = 141.16/x
  3. Step 3: Cross multiply
    346.45x = 520.05 × 141.16
  4. Step 4: Simplify right side
    346.45x = 73,410.26
  5. Step 5: Solve for x
    x = 73,410.26/346.45
  6. Step 6: Final answer
    x = 211.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.