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Finding the Fourth Proportional to 187.51, 258.71 and 117.55

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Solution

The fourth proportional to 187.51, 258.71 and 117.55 is: 162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 258.71 = 117.55 : x
  2. Step 2: Convert to fraction form
    187.51/258.71 = 117.55/x
  3. Step 3: Cross multiply
    187.51x = 258.71 × 117.55
  4. Step 4: Simplify right side
    187.51x = 30,410.77
  5. Step 5: Solve for x
    x = 30,410.77/187.51
  6. Step 6: Final answer
    x = 162.18

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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.