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Finding the Fourth Proportional to 215.85, 298.01 and 157.03

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Solution

The fourth proportional to 215.85, 298.01 and 157.03 is: 216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.85 : 298.01 = 157.03 : x
  2. Step 2: Convert to fraction form
    215.85/298.01 = 157.03/x
  3. Step 3: Cross multiply
    215.85x = 298.01 × 157.03
  4. Step 4: Simplify right side
    215.85x = 46,796.51
  5. Step 5: Solve for x
    x = 46,796.51/215.85
  6. Step 6: Final answer
    x = 216.80

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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.