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Finding the Fourth Proportional to 215.51, 297.14 and 174.06

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Solution

The fourth proportional to 215.51, 297.14 and 174.06 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.51 : 297.14 = 174.06 : x
  2. Step 2: Convert to fraction form
    215.51/297.14 = 174.06/x
  3. Step 3: Cross multiply
    215.51x = 297.14 × 174.06
  4. Step 4: Simplify right side
    215.51x = 51,719.32
  5. Step 5: Solve for x
    x = 51,719.32/215.51
  6. Step 6: Final answer
    x = 239.99

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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.