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Finding the Fourth Proportional to 318.45, 476.47 and 188.52

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Solution

The fourth proportional to 318.45, 476.47 and 188.52 is: 282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.45 : 476.47 = 188.52 : x
  2. Step 2: Convert to fraction form
    318.45/476.47 = 188.52/x
  3. Step 3: Cross multiply
    318.45x = 476.47 × 188.52
  4. Step 4: Simplify right side
    318.45x = 89,823.65
  5. Step 5: Solve for x
    x = 89,823.65/318.45
  6. Step 6: Final answer
    x = 282.07

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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.