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Finding the Fourth Proportional to 214.74, 295.83 and 177.84

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Solution

The fourth proportional to 214.74, 295.83 and 177.84 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 295.83 = 177.84 : x
  2. Step 2: Convert to fraction form
    214.74/295.83 = 177.84/x
  3. Step 3: Cross multiply
    214.74x = 295.83 × 177.84
  4. Step 4: Simplify right side
    214.74x = 52,610.41
  5. Step 5: Solve for x
    x = 52,610.41/214.74
  6. Step 6: Final answer
    x = 245.00

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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.