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Finding the Fourth Proportional to 364.18, 545.58 and 181.36

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Solution

The fourth proportional to 364.18, 545.58 and 181.36 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.18 : 545.58 = 181.36 : x
  2. Step 2: Convert to fraction form
    364.18/545.58 = 181.36/x
  3. Step 3: Cross multiply
    364.18x = 545.58 × 181.36
  4. Step 4: Simplify right side
    364.18x = 98,946.39
  5. Step 5: Solve for x
    x = 98,946.39/364.18
  6. Step 6: Final answer
    x = 271.70

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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.