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Finding the Fourth Proportional to 164.37, 245.47 and 155.48

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Solution

The fourth proportional to 164.37, 245.47 and 155.48 is: 232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 245.47 = 155.48 : x
  2. Step 2: Convert to fraction form
    164.37/245.47 = 155.48/x
  3. Step 3: Cross multiply
    164.37x = 245.47 × 155.48
  4. Step 4: Simplify right side
    164.37x = 38,165.86
  5. Step 5: Solve for x
    x = 38,165.86/164.37
  6. Step 6: Final answer
    x = 232.20

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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.