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Finding the Fourth Proportional to 318.01, 477.01 and 173.65

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Solution

The fourth proportional to 318.01, 477.01 and 173.65 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.01 : 477.01 = 173.65 : x
  2. Step 2: Convert to fraction form
    318.01/477.01 = 173.65/x
  3. Step 3: Cross multiply
    318.01x = 477.01 × 173.65
  4. Step 4: Simplify right side
    318.01x = 82,831.81
  5. Step 5: Solve for x
    x = 82,831.81/318.01
  6. Step 6: Final answer
    x = 260.47

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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.