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Finding the Fourth Proportional to 156.76, 234.05 and 148.84

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Solution

The fourth proportional to 156.76, 234.05 and 148.84 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.76 : 234.05 = 148.84 : x
  2. Step 2: Convert to fraction form
    156.76/234.05 = 148.84/x
  3. Step 3: Cross multiply
    156.76x = 234.05 × 148.84
  4. Step 4: Simplify right side
    156.76x = 34,836.00
  5. Step 5: Solve for x
    x = 34,836.00/156.76
  6. Step 6: Final answer
    x = 222.23

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Why These Related Problems?

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