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Finding the Fourth Proportional to 284.16, 393.06 and 265.86

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Solution

The fourth proportional to 284.16, 393.06 and 265.86 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 393.06 = 265.86 : x
  2. Step 2: Convert to fraction form
    284.16/393.06 = 265.86/x
  3. Step 3: Cross multiply
    284.16x = 393.06 × 265.86
  4. Step 4: Simplify right side
    284.16x = 104,498.93
  5. Step 5: Solve for x
    x = 104,498.93/284.16
  6. Step 6: Final answer
    x = 367.75

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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.