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Finding the Fourth Proportional to 346.33, 519.18 and 129.77

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Solution

The fourth proportional to 346.33, 519.18 and 129.77 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.33 : 519.18 = 129.77 : x
  2. Step 2: Convert to fraction form
    346.33/519.18 = 129.77/x
  3. Step 3: Cross multiply
    346.33x = 519.18 × 129.77
  4. Step 4: Simplify right side
    346.33x = 67,373.34
  5. Step 5: Solve for x
    x = 67,373.34/346.33
  6. Step 6: Final answer
    x = 194.54

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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.