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Finding the Fourth Proportional to 364.20, 545.76 and 158.64

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Solution

The fourth proportional to 364.20, 545.76 and 158.64 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 545.76 = 158.64 : x
  2. Step 2: Convert to fraction form
    364.20/545.76 = 158.64/x
  3. Step 3: Cross multiply
    364.20x = 545.76 × 158.64
  4. Step 4: Simplify right side
    364.20x = 86,579.37
  5. Step 5: Solve for x
    x = 86,579.37/364.20
  6. Step 6: Final answer
    x = 237.72

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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.