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Finding the Fourth Proportional to 156.96, 233.94 and 148.14

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Solution

The fourth proportional to 156.96, 233.94 and 148.14 is: 220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 233.94 = 148.14 : x
  2. Step 2: Convert to fraction form
    156.96/233.94 = 148.14/x
  3. Step 3: Cross multiply
    156.96x = 233.94 × 148.14
  4. Step 4: Simplify right side
    156.96x = 34,655.87
  5. Step 5: Solve for x
    x = 34,655.87/156.96
  6. Step 6: Final answer
    x = 220.79

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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.