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Finding the Fourth Proportional to 257.98, 356.07 and 158.50

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Solution

The fourth proportional to 257.98, 356.07 and 158.50 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 356.07 = 158.50 : x
  2. Step 2: Convert to fraction form
    257.98/356.07 = 158.50/x
  3. Step 3: Cross multiply
    257.98x = 356.07 × 158.50
  4. Step 4: Simplify right side
    257.98x = 56,437.10
  5. Step 5: Solve for x
    x = 56,437.10/257.98
  6. Step 6: Final answer
    x = 218.77

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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.