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Finding the Fourth Proportional to 395.19, 592.35 and 164.00

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Solution

The fourth proportional to 395.19, 592.35 and 164.00 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.19 : 592.35 = 164.00 : x
  2. Step 2: Convert to fraction form
    395.19/592.35 = 164.00/x
  3. Step 3: Cross multiply
    395.19x = 592.35 × 164.00
  4. Step 4: Simplify right side
    395.19x = 97,146.27
  5. Step 5: Solve for x
    x = 97,146.27/395.19
  6. Step 6: Final answer
    x = 245.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.