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Finding the Fourth Proportional to 340.15, 510.27 and 109.06

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Solution

The fourth proportional to 340.15, 510.27 and 109.06 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.15 : 510.27 = 109.06 : x
  2. Step 2: Convert to fraction form
    340.15/510.27 = 109.06/x
  3. Step 3: Cross multiply
    340.15x = 510.27 × 109.06
  4. Step 4: Simplify right side
    340.15x = 55,650.05
  5. Step 5: Solve for x
    x = 55,650.05/340.15
  6. Step 6: Final answer
    x = 163.60

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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.