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Finding the Fourth Proportional to 157.08, 233.96 and 148.80

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Solution

The fourth proportional to 157.08, 233.96 and 148.80 is: 221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 233.96 = 148.80 : x
  2. Step 2: Convert to fraction form
    157.08/233.96 = 148.80/x
  3. Step 3: Cross multiply
    157.08x = 233.96 × 148.80
  4. Step 4: Simplify right side
    157.08x = 34,813.25
  5. Step 5: Solve for x
    x = 34,813.25/157.08
  6. Step 6: Final answer
    x = 221.63

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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.