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Finding the Fourth Proportional to 284.88, 393.08 and 165.24

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Solution

The fourth proportional to 284.88, 393.08 and 165.24 is: 228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 393.08 = 165.24 : x
  2. Step 2: Convert to fraction form
    284.88/393.08 = 165.24/x
  3. Step 3: Cross multiply
    284.88x = 393.08 × 165.24
  4. Step 4: Simplify right side
    284.88x = 64,952.54
  5. Step 5: Solve for x
    x = 64,952.54/284.88
  6. Step 6: Final answer
    x = 228.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.