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Finding the Fourth Proportional to 264.74, 397.17 and 143.00

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Solution

The fourth proportional to 264.74, 397.17 and 143.00 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.74 : 397.17 = 143.00 : x
  2. Step 2: Convert to fraction form
    264.74/397.17 = 143.00/x
  3. Step 3: Cross multiply
    264.74x = 397.17 × 143.00
  4. Step 4: Simplify right side
    264.74x = 56,794.81
  5. Step 5: Solve for x
    x = 56,794.81/264.74
  6. Step 6: Final answer
    x = 214.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.