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Finding the Fourth Proportional to 257.64, 354.72 and 192.06

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Solution

The fourth proportional to 257.64, 354.72 and 192.06 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.64 : 354.72 = 192.06 : x
  2. Step 2: Convert to fraction form
    257.64/354.72 = 192.06/x
  3. Step 3: Cross multiply
    257.64x = 354.72 × 192.06
  4. Step 4: Simplify right side
    257.64x = 68,127.52
  5. Step 5: Solve for x
    x = 68,127.52/257.64
  6. Step 6: Final answer
    x = 264.43

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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.