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Finding the Fourth Proportional to 187.04, 257.80 and 134.60

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Solution

The fourth proportional to 187.04, 257.80 and 134.60 is: 185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 257.80 = 134.60 : x
  2. Step 2: Convert to fraction form
    187.04/257.80 = 134.60/x
  3. Step 3: Cross multiply
    187.04x = 257.80 × 134.60
  4. Step 4: Simplify right side
    187.04x = 34,699.88
  5. Step 5: Solve for x
    x = 34,699.88/187.04
  6. Step 6: Final answer
    x = 185.52

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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.