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Finding the Fourth Proportional to 264.50, 364.23 and 253.26

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Solution

The fourth proportional to 264.50, 364.23 and 253.26 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.50 : 364.23 = 253.26 : x
  2. Step 2: Convert to fraction form
    264.50/364.23 = 253.26/x
  3. Step 3: Cross multiply
    264.50x = 364.23 × 253.26
  4. Step 4: Simplify right side
    264.50x = 92,244.89
  5. Step 5: Solve for x
    x = 92,244.89/264.50
  6. Step 6: Final answer
    x = 348.75

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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.