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Finding the Fourth Proportional to 156.71, 235.07 and 149.69

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Solution

The fourth proportional to 156.71, 235.07 and 149.69 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.71 : 235.07 = 149.69 : x
  2. Step 2: Convert to fraction form
    156.71/235.07 = 149.69/x
  3. Step 3: Cross multiply
    156.71x = 235.07 × 149.69
  4. Step 4: Simplify right side
    156.71x = 35,187.63
  5. Step 5: Solve for x
    x = 35,187.63/156.71
  6. Step 6: Final answer
    x = 224.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.