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Finding the Fourth Proportional to 430.62, 645.54 and 156.66

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Solution

The fourth proportional to 430.62, 645.54 and 156.66 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.62 : 645.54 = 156.66 : x
  2. Step 2: Convert to fraction form
    430.62/645.54 = 156.66/x
  3. Step 3: Cross multiply
    430.62x = 645.54 × 156.66
  4. Step 4: Simplify right side
    430.62x = 101,130.30
  5. Step 5: Solve for x
    x = 101,130.30/430.62
  6. Step 6: Final answer
    x = 234.85

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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.