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Finding the Fourth Proportional to 346.28, 519.26 and 115.13

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Solution

The fourth proportional to 346.28, 519.26 and 115.13 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.28 : 519.26 = 115.13 : x
  2. Step 2: Convert to fraction form
    346.28/519.26 = 115.13/x
  3. Step 3: Cross multiply
    346.28x = 519.26 × 115.13
  4. Step 4: Simplify right side
    346.28x = 59,779.23
  5. Step 5: Solve for x
    x = 59,779.23/346.28
  6. Step 6: Final answer
    x = 172.64

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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.