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Finding the Fourth Proportional to 265.16, 366.19 and 218.69

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Solution

The fourth proportional to 265.16, 366.19 and 218.69 is: 302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 366.19 = 218.69 : x
  2. Step 2: Convert to fraction form
    265.16/366.19 = 218.69/x
  3. Step 3: Cross multiply
    265.16x = 366.19 × 218.69
  4. Step 4: Simplify right side
    265.16x = 80,081.00
  5. Step 5: Solve for x
    x = 80,081.00/265.16
  6. Step 6: Final answer
    x = 302.01

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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.