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Finding the Fourth Proportional to 296.17, 407.83 and 213.13

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Solution

The fourth proportional to 296.17, 407.83 and 213.13 is: 293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.17 : 407.83 = 213.13 : x
  2. Step 2: Convert to fraction form
    296.17/407.83 = 213.13/x
  3. Step 3: Cross multiply
    296.17x = 407.83 × 213.13
  4. Step 4: Simplify right side
    296.17x = 86,920.81
  5. Step 5: Solve for x
    x = 86,920.81/296.17
  6. Step 6: Final answer
    x = 293.48

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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.