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Finding the Fourth Proportional to 436.85, 655.13 and 148.22

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Solution

The fourth proportional to 436.85, 655.13 and 148.22 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.85 : 655.13 = 148.22 : x
  2. Step 2: Convert to fraction form
    436.85/655.13 = 148.22/x
  3. Step 3: Cross multiply
    436.85x = 655.13 × 148.22
  4. Step 4: Simplify right side
    436.85x = 97,105.38
  5. Step 5: Solve for x
    x = 97,105.38/436.85
  6. Step 6: Final answer
    x = 222.28

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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.