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Finding the Fourth Proportional to 430.21, 645.27 and 141.67

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Solution

The fourth proportional to 430.21, 645.27 and 141.67 is: 212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.21 : 645.27 = 141.67 : x
  2. Step 2: Convert to fraction form
    430.21/645.27 = 141.67/x
  3. Step 3: Cross multiply
    430.21x = 645.27 × 141.67
  4. Step 4: Simplify right side
    430.21x = 91,415.40
  5. Step 5: Solve for x
    x = 91,415.40/430.21
  6. Step 6: Final answer
    x = 212.49

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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.