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Finding the Fourth Proportional to 554.66, 831.90 and 189.44

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Solution

The fourth proportional to 554.66, 831.90 and 189.44 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.66 : 831.90 = 189.44 : x
  2. Step 2: Convert to fraction form
    554.66/831.90 = 189.44/x
  3. Step 3: Cross multiply
    554.66x = 831.90 × 189.44
  4. Step 4: Simplify right side
    554.66x = 157,595.14
  5. Step 5: Solve for x
    x = 157,595.14/554.66
  6. Step 6: Final answer
    x = 284.13

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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.