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Finding the Fourth Proportional to 430.02, 645.01 and 156.11

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Solution

The fourth proportional to 430.02, 645.01 and 156.11 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 645.01 = 156.11 : x
  2. Step 2: Convert to fraction form
    430.02/645.01 = 156.11/x
  3. Step 3: Cross multiply
    430.02x = 645.01 × 156.11
  4. Step 4: Simplify right side
    430.02x = 100,688.90
  5. Step 5: Solve for x
    x = 100,688.90/430.02
  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.