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Finding the Fourth Proportional to 339.35, 508.68 and 184.95

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Solution

The fourth proportional to 339.35, 508.68 and 184.95 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.35 : 508.68 = 184.95 : x
  2. Step 2: Convert to fraction form
    339.35/508.68 = 184.95/x
  3. Step 3: Cross multiply
    339.35x = 508.68 × 184.95
  4. Step 4: Simplify right side
    339.35x = 94,080.37
  5. Step 5: Solve for x
    x = 94,080.37/339.35
  6. Step 6: Final answer
    x = 277.24

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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.