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Finding the Fourth Proportional to 345.02, 517.23 and 139.76

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Solution

The fourth proportional to 345.02, 517.23 and 139.76 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.02 : 517.23 = 139.76 : x
  2. Step 2: Convert to fraction form
    345.02/517.23 = 139.76/x
  3. Step 3: Cross multiply
    345.02x = 517.23 × 139.76
  4. Step 4: Simplify right side
    345.02x = 72,288.06
  5. Step 5: Solve for x
    x = 72,288.06/345.02
  6. Step 6: Final answer
    x = 209.52

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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.