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Finding the Fourth Proportional to 430.63, 645.86 and 142

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Solution

The fourth proportional to 430.63, 645.86 and 142 is: 212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 645.86 = 142 : x
  2. Step 2: Convert to fraction form
    430.63/645.86 = 142/x
  3. Step 3: Cross multiply
    430.63x = 645.86 × 142
  4. Step 4: Simplify right side
    430.63x = 91,711.41
  5. Step 5: Solve for x
    x = 91,711.41/430.63
  6. Step 6: Final answer
    x = 212.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.