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Finding the Fourth Proportional to 430.37, 645.69 and 142.01

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Solution

The fourth proportional to 430.37, 645.69 and 142.01 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.37 : 645.69 = 142.01 : x
  2. Step 2: Convert to fraction form
    430.37/645.69 = 142.01/x
  3. Step 3: Cross multiply
    430.37x = 645.69 × 142.01
  4. Step 4: Simplify right side
    430.37x = 91,694.44
  5. Step 5: Solve for x
    x = 91,694.44/430.37
  6. Step 6: Final answer
    x = 213.06

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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.