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Finding the Fourth Proportional to 435.63, 653.23 and 146.86

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Solution

The fourth proportional to 435.63, 653.23 and 146.86 is: 220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.63 : 653.23 = 146.86 : x
  2. Step 2: Convert to fraction form
    435.63/653.23 = 146.86/x
  3. Step 3: Cross multiply
    435.63x = 653.23 × 146.86
  4. Step 4: Simplify right side
    435.63x = 95,933.36
  5. Step 5: Solve for x
    x = 95,933.36/435.63
  6. Step 6: Final answer
    x = 220.22

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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.