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Finding the Fourth Proportional to 264.57, 396.23 and 156.03

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Solution

The fourth proportional to 264.57, 396.23 and 156.03 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.57 : 396.23 = 156.03 : x
  2. Step 2: Convert to fraction form
    264.57/396.23 = 156.03/x
  3. Step 3: Cross multiply
    264.57x = 396.23 × 156.03
  4. Step 4: Simplify right side
    264.57x = 61,822.99
  5. Step 5: Solve for x
    x = 61,822.99/264.57
  6. Step 6: Final answer
    x = 233.67

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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.