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Finding the Fourth Proportional to 264.26, 364.66 and 147.84

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Solution

The fourth proportional to 264.26, 364.66 and 147.84 is: 204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 364.66 = 147.84 : x
  2. Step 2: Convert to fraction form
    264.26/364.66 = 147.84/x
  3. Step 3: Cross multiply
    264.26x = 364.66 × 147.84
  4. Step 4: Simplify right side
    264.26x = 53,911.33
  5. Step 5: Solve for x
    x = 53,911.33/264.26
  6. Step 6: Final answer
    x = 204.01

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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.