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Finding the Fourth Proportional to 265.06, 364.56 and 257.37

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Solution

The fourth proportional to 265.06, 364.56 and 257.37 is: 353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 364.56 = 257.37 : x
  2. Step 2: Convert to fraction form
    265.06/364.56 = 257.37/x
  3. Step 3: Cross multiply
    265.06x = 364.56 × 257.37
  4. Step 4: Simplify right side
    265.06x = 93,826.81
  5. Step 5: Solve for x
    x = 93,826.81/265.06
  6. Step 6: Final answer
    x = 353.98

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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.