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Finding the Fourth Proportional to 156.64, 233.12 and 150.88

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Solution

The fourth proportional to 156.64, 233.12 and 150.88 is: 224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.64 : 233.12 = 150.88 : x
  2. Step 2: Convert to fraction form
    156.64/233.12 = 150.88/x
  3. Step 3: Cross multiply
    156.64x = 233.12 × 150.88
  4. Step 4: Simplify right side
    156.64x = 35,173.15
  5. Step 5: Solve for x
    x = 35,173.15/156.64
  6. Step 6: Final answer
    x = 224.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.