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Finding the Fourth Proportional to 264.84, 364.68 and 229.83

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Solution

The fourth proportional to 264.84, 364.68 and 229.83 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 364.68 = 229.83 : x
  2. Step 2: Convert to fraction form
    264.84/364.68 = 229.83/x
  3. Step 3: Cross multiply
    264.84x = 364.68 × 229.83
  4. Step 4: Simplify right side
    264.84x = 83,814.40
  5. Step 5: Solve for x
    x = 83,814.40/264.84
  6. Step 6: Final answer
    x = 316.47

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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.