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Finding the Fourth Proportional to 156.61, 233.87 and 148.71

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Solution

The fourth proportional to 156.61, 233.87 and 148.71 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.61 : 233.87 = 148.71 : x
  2. Step 2: Convert to fraction form
    156.61/233.87 = 148.71/x
  3. Step 3: Cross multiply
    156.61x = 233.87 × 148.71
  4. Step 4: Simplify right side
    156.61x = 34,778.81
  5. Step 5: Solve for x
    x = 34,778.81/156.61
  6. Step 6: Final answer
    x = 222.07

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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.