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Finding the Fourth Proportional to 257.09, 385.70 and 102.98

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Solution

The fourth proportional to 257.09, 385.70 and 102.98 is: 154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.09 : 385.70 = 102.98 : x
  2. Step 2: Convert to fraction form
    257.09/385.70 = 102.98/x
  3. Step 3: Cross multiply
    257.09x = 385.70 × 102.98
  4. Step 4: Simplify right side
    257.09x = 39,719.84
  5. Step 5: Solve for x
    x = 39,719.84/257.09
  6. Step 6: Final answer
    x = 154.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.