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Finding the Fourth Proportional to 264.08, 364.42 and 153.55

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Solution

The fourth proportional to 264.08, 364.42 and 153.55 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 364.42 = 153.55 : x
  2. Step 2: Convert to fraction form
    264.08/364.42 = 153.55/x
  3. Step 3: Cross multiply
    264.08x = 364.42 × 153.55
  4. Step 4: Simplify right side
    264.08x = 55,957.34
  5. Step 5: Solve for x
    x = 55,957.34/264.08
  6. Step 6: Final answer
    x = 211.89

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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.