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Finding the Fourth Proportional to 264.10, 364.44 and 147.65

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Solution

The fourth proportional to 264.10, 364.44 and 147.65 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 364.44 = 147.65 : x
  2. Step 2: Convert to fraction form
    264.10/364.44 = 147.65/x
  3. Step 3: Cross multiply
    264.10x = 364.44 × 147.65
  4. Step 4: Simplify right side
    264.10x = 53,811.03
  5. Step 5: Solve for x
    x = 53,811.03/264.10
  6. Step 6: Final answer
    x = 203.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.