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Finding the Fourth Proportional to 364.14, 545.76 and 201.60

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Solution

The fourth proportional to 364.14, 545.76 and 201.60 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.14 : 545.76 = 201.60 : x
  2. Step 2: Convert to fraction form
    364.14/545.76 = 201.60/x
  3. Step 3: Cross multiply
    364.14x = 545.76 × 201.60
  4. Step 4: Simplify right side
    364.14x = 110,025.22
  5. Step 5: Solve for x
    x = 110,025.22/364.14
  6. Step 6: Final answer
    x = 302.15

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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.