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Finding the Fourth Proportional to 156.31, 215.76 and 109.69

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Solution

The fourth proportional to 156.31, 215.76 and 109.69 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.31 : 215.76 = 109.69 : x
  2. Step 2: Convert to fraction form
    156.31/215.76 = 109.69/x
  3. Step 3: Cross multiply
    156.31x = 215.76 × 109.69
  4. Step 4: Simplify right side
    156.31x = 23,666.59
  5. Step 5: Solve for x
    x = 23,666.59/156.31
  6. Step 6: Final answer
    x = 151.40

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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.