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Finding the Fourth Proportional to 156.96, 215.94 and 136.08

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Solution

The fourth proportional to 156.96, 215.94 and 136.08 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 215.94 = 136.08 : x
  2. Step 2: Convert to fraction form
    156.96/215.94 = 136.08/x
  3. Step 3: Cross multiply
    156.96x = 215.94 × 136.08
  4. Step 4: Simplify right side
    156.96x = 29,385.12
  5. Step 5: Solve for x
    x = 29,385.12/156.96
  6. Step 6: Final answer
    x = 187.21

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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.