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Finding the Fourth Proportional to 264.85, 365.51 and 154.35

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Solution

The fourth proportional to 264.85, 365.51 and 154.35 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.85 : 365.51 = 154.35 : x
  2. Step 2: Convert to fraction form
    264.85/365.51 = 154.35/x
  3. Step 3: Cross multiply
    264.85x = 365.51 × 154.35
  4. Step 4: Simplify right side
    264.85x = 56,416.85
  5. Step 5: Solve for x
    x = 56,416.85/264.85
  6. Step 6: Final answer
    x = 213.02

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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.