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Finding the Fourth Proportional to 214.49, 295.90 and 135.77

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Solution

The fourth proportional to 214.49, 295.90 and 135.77 is: 187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 295.90 = 135.77 : x
  2. Step 2: Convert to fraction form
    214.49/295.90 = 135.77/x
  3. Step 3: Cross multiply
    214.49x = 295.90 × 135.77
  4. Step 4: Simplify right side
    214.49x = 40,174.34
  5. Step 5: Solve for x
    x = 40,174.34/214.49
  6. Step 6: Final answer
    x = 187.30

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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.