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Finding the Fourth Proportional to 215.74, 297.51 and 192.46

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Solution

The fourth proportional to 215.74, 297.51 and 192.46 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 297.51 = 192.46 : x
  2. Step 2: Convert to fraction form
    215.74/297.51 = 192.46/x
  3. Step 3: Cross multiply
    215.74x = 297.51 × 192.46
  4. Step 4: Simplify right side
    215.74x = 57,258.77
  5. Step 5: Solve for x
    x = 57,258.77/215.74
  6. Step 6: Final answer
    x = 265.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.