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Finding the Fourth Proportional to 340.42, 509.93 and 166.57

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Solution

The fourth proportional to 340.42, 509.93 and 166.57 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.42 : 509.93 = 166.57 : x
  2. Step 2: Convert to fraction form
    340.42/509.93 = 166.57/x
  3. Step 3: Cross multiply
    340.42x = 509.93 × 166.57
  4. Step 4: Simplify right side
    340.42x = 84,939.04
  5. Step 5: Solve for x
    x = 84,939.04/340.42
  6. Step 6: Final answer
    x = 249.51

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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.