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Finding the Fourth Proportional to 265.47, 364.82 and 218.76

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Solution

The fourth proportional to 265.47, 364.82 and 218.76 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.47 : 364.82 = 218.76 : x
  2. Step 2: Convert to fraction form
    265.47/364.82 = 218.76/x
  3. Step 3: Cross multiply
    265.47x = 364.82 × 218.76
  4. Step 4: Simplify right side
    265.47x = 79,808.02
  5. Step 5: Solve for x
    x = 79,808.02/265.47
  6. Step 6: Final answer
    x = 300.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.