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Finding the Fourth Proportional to 364.02, 545.40 and 181.14

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Solution

The fourth proportional to 364.02, 545.40 and 181.14 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 545.40 = 181.14 : x
  2. Step 2: Convert to fraction form
    364.02/545.40 = 181.14/x
  3. Step 3: Cross multiply
    364.02x = 545.40 × 181.14
  4. Step 4: Simplify right side
    364.02x = 98,793.76
  5. Step 5: Solve for x
    x = 98,793.76/364.02
  6. Step 6: Final answer
    x = 271.40

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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.