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Finding the Fourth Proportional to 156.32, 233.78 and 117.37

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Solution

The fourth proportional to 156.32, 233.78 and 117.37 is: 175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 233.78 = 117.37 : x
  2. Step 2: Convert to fraction form
    156.32/233.78 = 117.37/x
  3. Step 3: Cross multiply
    156.32x = 233.78 × 117.37
  4. Step 4: Simplify right side
    156.32x = 27,438.76
  5. Step 5: Solve for x
    x = 27,438.76/156.32
  6. Step 6: Final answer
    x = 175.53

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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.