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Finding the Fourth Proportional to 395.16, 592.98 and 164.07

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Solution

The fourth proportional to 395.16, 592.98 and 164.07 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 592.98 = 164.07 : x
  2. Step 2: Convert to fraction form
    395.16/592.98 = 164.07/x
  3. Step 3: Cross multiply
    395.16x = 592.98 × 164.07
  4. Step 4: Simplify right side
    395.16x = 97,290.23
  5. Step 5: Solve for x
    x = 97,290.23/395.16
  6. Step 6: Final answer
    x = 246.20

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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.