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Finding the Fourth Proportional to 264.58, 365.17 and 154.10

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Solution

The fourth proportional to 264.58, 365.17 and 154.10 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.58 : 365.17 = 154.10 : x
  2. Step 2: Convert to fraction form
    264.58/365.17 = 154.10/x
  3. Step 3: Cross multiply
    264.58x = 365.17 × 154.10
  4. Step 4: Simplify right side
    264.58x = 56,272.70
  5. Step 5: Solve for x
    x = 56,272.70/264.58
  6. Step 6: Final answer
    x = 212.69

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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.