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Finding the Fourth Proportional to 264.74, 364.10 and 231.93

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Solution

The fourth proportional to 264.74, 364.10 and 231.93 is: 318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.74 : 364.10 = 231.93 : x
  2. Step 2: Convert to fraction form
    264.74/364.10 = 231.93/x
  3. Step 3: Cross multiply
    264.74x = 364.10 × 231.93
  4. Step 4: Simplify right side
    264.74x = 84,444.55
  5. Step 5: Solve for x
    x = 84,444.55/264.74
  6. Step 6: Final answer
    x = 318.98

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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.