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Finding the Fourth Proportional to 214.74, 296.16 and 187.06

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Solution

The fourth proportional to 214.74, 296.16 and 187.06 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 296.16 = 187.06 : x
  2. Step 2: Convert to fraction form
    214.74/296.16 = 187.06/x
  3. Step 3: Cross multiply
    214.74x = 296.16 × 187.06
  4. Step 4: Simplify right side
    214.74x = 55,398.95
  5. Step 5: Solve for x
    x = 55,398.95/214.74
  6. Step 6: Final answer
    x = 257.99

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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.