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Finding the Fourth Proportional to 164.84, 248.64 and 153.24

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Solution

The fourth proportional to 164.84, 248.64 and 153.24 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.84 : 248.64 = 153.24 : x
  2. Step 2: Convert to fraction form
    164.84/248.64 = 153.24/x
  3. Step 3: Cross multiply
    164.84x = 248.64 × 153.24
  4. Step 4: Simplify right side
    164.84x = 38,101.59
  5. Step 5: Solve for x
    x = 38,101.59/164.84
  6. Step 6: Final answer
    x = 231.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.