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Finding the Fourth Proportional to 340.76, 469.99 and 224.12

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Solution

The fourth proportional to 340.76, 469.99 and 224.12 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 469.99 = 224.12 : x
  2. Step 2: Convert to fraction form
    340.76/469.99 = 224.12/x
  3. Step 3: Cross multiply
    340.76x = 469.99 × 224.12
  4. Step 4: Simplify right side
    340.76x = 105,334.16
  5. Step 5: Solve for x
    x = 105,334.16/340.76
  6. Step 6: Final answer
    x = 309.12

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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.