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Finding the Fourth Proportional to 164.52, 245.29 and 160.32

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Solution

The fourth proportional to 164.52, 245.29 and 160.32 is: 239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 245.29 = 160.32 : x
  2. Step 2: Convert to fraction form
    164.52/245.29 = 160.32/x
  3. Step 3: Cross multiply
    164.52x = 245.29 × 160.32
  4. Step 4: Simplify right side
    164.52x = 39,323.57
  5. Step 5: Solve for x
    x = 39,323.57/164.52
  6. Step 6: Final answer
    x = 239.01

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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.