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Finding the Fourth Proportional to 340, 469.24 and 202

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Solution

The fourth proportional to 340, 469.24 and 202 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 469.24 = 202 : x
  2. Step 2: Convert to fraction form
    340/469.24 = 202/x
  3. Step 3: Cross multiply
    340x = 469.24 × 202
  4. Step 4: Simplify right side
    340x = 94,786.48
  5. Step 5: Solve for x
    x = 94,786.48/340
  6. Step 6: Final answer
    x = 278.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.