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Finding the Fourth Proportional to 157.48, 235.07 and 144.64

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Solution

The fourth proportional to 157.48, 235.07 and 144.64 is: 215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.48 : 235.07 = 144.64 : x
  2. Step 2: Convert to fraction form
    157.48/235.07 = 144.64/x
  3. Step 3: Cross multiply
    157.48x = 235.07 × 144.64
  4. Step 4: Simplify right side
    157.48x = 34,000.52
  5. Step 5: Solve for x
    x = 34,000.52/157.48
  6. Step 6: Final answer
    x = 215.90

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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.