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Finding the Fourth Proportional to 554.06, 831.26 and 164.05

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Solution

The fourth proportional to 554.06, 831.26 and 164.05 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.06 : 831.26 = 164.05 : x
  2. Step 2: Convert to fraction form
    554.06/831.26 = 164.05/x
  3. Step 3: Cross multiply
    554.06x = 831.26 × 164.05
  4. Step 4: Simplify right side
    554.06x = 136,366.53
  5. Step 5: Solve for x
    x = 136,366.53/554.06
  6. Step 6: Final answer
    x = 246.12

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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.