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Finding the Fourth Proportional to 257.73, 355.64 and 152.84

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Solution

The fourth proportional to 257.73, 355.64 and 152.84 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 355.64 = 152.84 : x
  2. Step 2: Convert to fraction form
    257.73/355.64 = 152.84/x
  3. Step 3: Cross multiply
    257.73x = 355.64 × 152.84
  4. Step 4: Simplify right side
    257.73x = 54,353.48
  5. Step 5: Solve for x
    x = 54,353.48/257.73
  6. Step 6: Final answer
    x = 210.89

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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.