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Finding the Fourth Proportional to 257, 354.82 and 165.16

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Solution

The fourth proportional to 257, 354.82 and 165.16 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 354.82 = 165.16 : x
  2. Step 2: Convert to fraction form
    257/354.82 = 165.16/x
  3. Step 3: Cross multiply
    257x = 354.82 × 165.16
  4. Step 4: Simplify right side
    257x = 58,602.07
  5. Step 5: Solve for x
    x = 58,602.07/257
  6. Step 6: Final answer
    x = 228.02

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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.