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Finding the Fourth Proportional to 264.00, 396.09 and 117.75

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Solution

The fourth proportional to 264.00, 396.09 and 117.75 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.00 : 396.09 = 117.75 : x
  2. Step 2: Convert to fraction form
    264.00/396.09 = 117.75/x
  3. Step 3: Cross multiply
    264.00x = 396.09 × 117.75
  4. Step 4: Simplify right side
    264.00x = 46,641.08
  5. Step 5: Solve for x
    x = 46,641.08/264.00
  6. Step 6: Final answer
    x = 176.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.