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Finding the Fourth Proportional to 430.22, 645.02 and 137.58

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Solution

The fourth proportional to 430.22, 645.02 and 137.58 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 645.02 = 137.58 : x
  2. Step 2: Convert to fraction form
    430.22/645.02 = 137.58/x
  3. Step 3: Cross multiply
    430.22x = 645.02 × 137.58
  4. Step 4: Simplify right side
    430.22x = 88,741.85
  5. Step 5: Solve for x
    x = 88,741.85/430.22
  6. Step 6: Final answer
    x = 206.27

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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.