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Finding the Fourth Proportional to 430.22, 645.40 and 141.62

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Solution

The fourth proportional to 430.22, 645.40 and 141.62 is: 212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 645.40 = 141.62 : x
  2. Step 2: Convert to fraction form
    430.22/645.40 = 141.62/x
  3. Step 3: Cross multiply
    430.22x = 645.40 × 141.62
  4. Step 4: Simplify right side
    430.22x = 91,401.55
  5. Step 5: Solve for x
    x = 91,401.55/430.22
  6. Step 6: Final answer
    x = 212.45

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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.