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Finding the Fourth Proportional to 364.18, 545.34 and 201.68

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Solution

The fourth proportional to 364.18, 545.34 and 201.68 is: 302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.18 : 545.34 = 201.68 : x
  2. Step 2: Convert to fraction form
    364.18/545.34 = 201.68/x
  3. Step 3: Cross multiply
    364.18x = 545.34 × 201.68
  4. Step 4: Simplify right side
    364.18x = 109,984.17
  5. Step 5: Solve for x
    x = 109,984.17/364.18
  6. Step 6: Final answer
    x = 302.00

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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.