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Finding the Fourth Proportional to 288.40, 398.02 and 164.08

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Solution

The fourth proportional to 288.40, 398.02 and 164.08 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.40 : 398.02 = 164.08 : x
  2. Step 2: Convert to fraction form
    288.40/398.02 = 164.08/x
  3. Step 3: Cross multiply
    288.40x = 398.02 × 164.08
  4. Step 4: Simplify right side
    288.40x = 65,307.12
  5. Step 5: Solve for x
    x = 65,307.12/288.40
  6. Step 6: Final answer
    x = 226.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.