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Finding the Fourth Proportional to 264.08, 364.41 and 147.65

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Solution

The fourth proportional to 264.08, 364.41 and 147.65 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 364.41 = 147.65 : x
  2. Step 2: Convert to fraction form
    264.08/364.41 = 147.65/x
  3. Step 3: Cross multiply
    264.08x = 364.41 × 147.65
  4. Step 4: Simplify right side
    264.08x = 53,803.31
  5. Step 5: Solve for x
    x = 53,803.31/264.08
  6. Step 6: Final answer
    x = 203.74

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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.