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Finding the Fourth Proportional to 430.16, 645.12 and 156.24

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Solution

The fourth proportional to 430.16, 645.12 and 156.24 is: 234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.16 : 645.12 = 156.24 : x
  2. Step 2: Convert to fraction form
    430.16/645.12 = 156.24/x
  3. Step 3: Cross multiply
    430.16x = 645.12 × 156.24
  4. Step 4: Simplify right side
    430.16x = 100,793.55
  5. Step 5: Solve for x
    x = 100,793.55/430.16
  6. Step 6: Final answer
    x = 234.32

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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.