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Finding the Fourth Proportional to 187.64, 258.80 and 156.48

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Solution

The fourth proportional to 187.64, 258.80 and 156.48 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 258.80 = 156.48 : x
  2. Step 2: Convert to fraction form
    187.64/258.80 = 156.48/x
  3. Step 3: Cross multiply
    187.64x = 258.80 × 156.48
  4. Step 4: Simplify right side
    187.64x = 40,496.24
  5. Step 5: Solve for x
    x = 40,496.24/187.64
  6. Step 6: Final answer
    x = 215.82

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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.