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Finding the Fourth Proportional to 436.71, 655.25 and 148.23

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Solution

The fourth proportional to 436.71, 655.25 and 148.23 is: 222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.71 : 655.25 = 148.23 : x
  2. Step 2: Convert to fraction form
    436.71/655.25 = 148.23/x
  3. Step 3: Cross multiply
    436.71x = 655.25 × 148.23
  4. Step 4: Simplify right side
    436.71x = 97,126.97
  5. Step 5: Solve for x
    x = 97,126.97/436.71
  6. Step 6: Final answer
    x = 222.41

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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.