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Finding the Fourth Proportional to 430.14, 645 and 156.15

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Solution

The fourth proportional to 430.14, 645 and 156.15 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.14 : 645 = 156.15 : x
  2. Step 2: Convert to fraction form
    430.14/645 = 156.15/x
  3. Step 3: Cross multiply
    430.14x = 645 × 156.15
  4. Step 4: Simplify right side
    430.14x = 100,716.75
  5. Step 5: Solve for x
    x = 100,716.75/430.14
  6. Step 6: Final answer
    x = 234.15

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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.