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Finding the Fourth Proportional to 264.90, 395.43 and 232.50

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Solution

The fourth proportional to 264.90, 395.43 and 232.50 is: 347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 395.43 = 232.50 : x
  2. Step 2: Convert to fraction form
    264.90/395.43 = 232.50/x
  3. Step 3: Cross multiply
    264.90x = 395.43 × 232.50
  4. Step 4: Simplify right side
    264.90x = 91,937.48
  5. Step 5: Solve for x
    x = 91,937.48/264.90
  6. Step 6: Final answer
    x = 347.06

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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.