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Finding the Fourth Proportional to 187.53, 257.40 and 166.34

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Solution

The fourth proportional to 187.53, 257.40 and 166.34 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.53 : 257.40 = 166.34 : x
  2. Step 2: Convert to fraction form
    187.53/257.40 = 166.34/x
  3. Step 3: Cross multiply
    187.53x = 257.40 × 166.34
  4. Step 4: Simplify right side
    187.53x = 42,815.92
  5. Step 5: Solve for x
    x = 42,815.92/187.53
  6. Step 6: Final answer
    x = 228.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.