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Finding the Fourth Proportional to 268.51, 370.61 and 224.77

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Solution

The fourth proportional to 268.51, 370.61 and 224.77 is: 310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.51 : 370.61 = 224.77 : x
  2. Step 2: Convert to fraction form
    268.51/370.61 = 224.77/x
  3. Step 3: Cross multiply
    268.51x = 370.61 × 224.77
  4. Step 4: Simplify right side
    268.51x = 83,300.89
  5. Step 5: Solve for x
    x = 83,300.89/268.51
  6. Step 6: Final answer
    x = 310.23

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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.