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Finding the Fourth Proportional to 364.02, 545.49 and 171.24

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Solution

The fourth proportional to 364.02, 545.49 and 171.24 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 545.49 = 171.24 : x
  2. Step 2: Convert to fraction form
    364.02/545.49 = 171.24/x
  3. Step 3: Cross multiply
    364.02x = 545.49 × 171.24
  4. Step 4: Simplify right side
    364.02x = 93,409.71
  5. Step 5: Solve for x
    x = 93,409.71/364.02
  6. Step 6: Final answer
    x = 256.61

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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.