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Finding the Fourth Proportional to 264.41, 364.79 and 153.83

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Solution

The fourth proportional to 264.41, 364.79 and 153.83 is: 212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.41 : 364.79 = 153.83 : x
  2. Step 2: Convert to fraction form
    264.41/364.79 = 153.83/x
  3. Step 3: Cross multiply
    264.41x = 364.79 × 153.83
  4. Step 4: Simplify right side
    264.41x = 56,113.05
  5. Step 5: Solve for x
    x = 56,113.05/264.41
  6. Step 6: Final answer
    x = 212.22

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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.