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Finding the Fourth Proportional to 263.64, 392.65 and 246.77

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Solution

The fourth proportional to 263.64, 392.65 and 246.77 is: 367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 392.65 = 246.77 : x
  2. Step 2: Convert to fraction form
    263.64/392.65 = 246.77/x
  3. Step 3: Cross multiply
    263.64x = 392.65 × 246.77
  4. Step 4: Simplify right side
    263.64x = 96,894.24
  5. Step 5: Solve for x
    x = 96,894.24/263.64
  6. Step 6: Final answer
    x = 367.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.