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Finding the Fourth Proportional to 215.58, 297.65 and 142

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Solution

The fourth proportional to 215.58, 297.65 and 142 is: 196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.58 : 297.65 = 142 : x
  2. Step 2: Convert to fraction form
    215.58/297.65 = 142/x
  3. Step 3: Cross multiply
    215.58x = 297.65 × 142
  4. Step 4: Simplify right side
    215.58x = 42,266.30
  5. Step 5: Solve for x
    x = 42,266.30/215.58
  6. Step 6: Final answer
    x = 196.06

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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.