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Finding the Fourth Proportional to 162.51, 223.88 and 136.25

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Solution

The fourth proportional to 162.51, 223.88 and 136.25 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 223.88 = 136.25 : x
  2. Step 2: Convert to fraction form
    162.51/223.88 = 136.25/x
  3. Step 3: Cross multiply
    162.51x = 223.88 × 136.25
  4. Step 4: Simplify right side
    162.51x = 30,503.53
  5. Step 5: Solve for x
    x = 30,503.53/162.51
  6. Step 6: Final answer
    x = 187.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.