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Finding the Fourth Proportional to 339.48, 509.76 and 194.76

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Solution

The fourth proportional to 339.48, 509.76 and 194.76 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 509.76 = 194.76 : x
  2. Step 2: Convert to fraction form
    339.48/509.76 = 194.76/x
  3. Step 3: Cross multiply
    339.48x = 509.76 × 194.76
  4. Step 4: Simplify right side
    339.48x = 99,280.86
  5. Step 5: Solve for x
    x = 99,280.86/339.48
  6. Step 6: Final answer
    x = 292.45

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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.