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Finding the Fourth Proportional to 554.19, 831.33 and 189

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Solution

The fourth proportional to 554.19, 831.33 and 189 is: 283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.19 : 831.33 = 189 : x
  2. Step 2: Convert to fraction form
    554.19/831.33 = 189/x
  3. Step 3: Cross multiply
    554.19x = 831.33 × 189
  4. Step 4: Simplify right side
    554.19x = 157,121.37
  5. Step 5: Solve for x
    x = 157,121.37/554.19
  6. Step 6: Final answer
    x = 283.52

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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.