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Finding the Fourth Proportional to 430.05, 645.12 and 141.42

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Solution

The fourth proportional to 430.05, 645.12 and 141.42 is: 212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 645.12 = 141.42 : x
  2. Step 2: Convert to fraction form
    430.05/645.12 = 141.42/x
  3. Step 3: Cross multiply
    430.05x = 645.12 × 141.42
  4. Step 4: Simplify right side
    430.05x = 91,232.87
  5. Step 5: Solve for x
    x = 91,232.87/430.05
  6. Step 6: Final answer
    x = 212.14

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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.