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Finding the Fourth Proportional to 554.55, 831.93 and 189.24

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Solution

The fourth proportional to 554.55, 831.93 and 189.24 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.55 : 831.93 = 189.24 : x
  2. Step 2: Convert to fraction form
    554.55/831.93 = 189.24/x
  3. Step 3: Cross multiply
    554.55x = 831.93 × 189.24
  4. Step 4: Simplify right side
    554.55x = 157,434.43
  5. Step 5: Solve for x
    x = 157,434.43/554.55
  6. Step 6: Final answer
    x = 283.90

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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.