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Finding the Fourth Proportional to 339.49, 509.01 and 123.07

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Solution

The fourth proportional to 339.49, 509.01 and 123.07 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.49 : 509.01 = 123.07 : x
  2. Step 2: Convert to fraction form
    339.49/509.01 = 123.07/x
  3. Step 3: Cross multiply
    339.49x = 509.01 × 123.07
  4. Step 4: Simplify right side
    339.49x = 62,643.86
  5. Step 5: Solve for x
    x = 62,643.86/339.49
  6. Step 6: Final answer
    x = 184.52

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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.