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Finding the Fourth Proportional to 284.48, 427.20 and 188.24

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Solution

The fourth proportional to 284.48, 427.20 and 188.24 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 427.20 = 188.24 : x
  2. Step 2: Convert to fraction form
    284.48/427.20 = 188.24/x
  3. Step 3: Cross multiply
    284.48x = 427.20 × 188.24
  4. Step 4: Simplify right side
    284.48x = 80,416.13
  5. Step 5: Solve for x
    x = 80,416.13/284.48
  6. Step 6: Final answer
    x = 282.68

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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.