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Finding the Fourth Proportional to 339.99, 509.74 and 164.18

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Solution

The fourth proportional to 339.99, 509.74 and 164.18 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.99 : 509.74 = 164.18 : x
  2. Step 2: Convert to fraction form
    339.99/509.74 = 164.18/x
  3. Step 3: Cross multiply
    339.99x = 509.74 × 164.18
  4. Step 4: Simplify right side
    339.99x = 83,690.80
  5. Step 5: Solve for x
    x = 83,690.80/339.99
  6. Step 6: Final answer
    x = 246.16

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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.