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Finding the Fourth Proportional to 164.56, 245.60 and 159.52

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Solution

The fourth proportional to 164.56, 245.60 and 159.52 is: 238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 245.60 = 159.52 : x
  2. Step 2: Convert to fraction form
    164.56/245.60 = 159.52/x
  3. Step 3: Cross multiply
    164.56x = 245.60 × 159.52
  4. Step 4: Simplify right side
    164.56x = 39,178.11
  5. Step 5: Solve for x
    x = 39,178.11/164.56
  6. Step 6: Final answer
    x = 238.08

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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.