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Finding the Fourth Proportional to 264.07, 394.16 and 233.66

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Solution

The fourth proportional to 264.07, 394.16 and 233.66 is: 348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.07 : 394.16 = 233.66 : x
  2. Step 2: Convert to fraction form
    264.07/394.16 = 233.66/x
  3. Step 3: Cross multiply
    264.07x = 394.16 × 233.66
  4. Step 4: Simplify right side
    264.07x = 92,099.24
  5. Step 5: Solve for x
    x = 92,099.24/264.07
  6. Step 6: Final answer
    x = 348.77

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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.