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Finding the Fourth Proportional to 340.13, 510.29 and 109.05

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Solution

The fourth proportional to 340.13, 510.29 and 109.05 is: 163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 510.29 = 109.05 : x
  2. Step 2: Convert to fraction form
    340.13/510.29 = 109.05/x
  3. Step 3: Cross multiply
    340.13x = 510.29 × 109.05
  4. Step 4: Simplify right side
    340.13x = 55,647.12
  5. Step 5: Solve for x
    x = 55,647.12/340.13
  6. Step 6: Final answer
    x = 163.61

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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.