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Finding the Fourth Proportional to 554.69, 831.94 and 184.46

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Solution

The fourth proportional to 554.69, 831.94 and 184.46 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.69 : 831.94 = 184.46 : x
  2. Step 2: Convert to fraction form
    554.69/831.94 = 184.46/x
  3. Step 3: Cross multiply
    554.69x = 831.94 × 184.46
  4. Step 4: Simplify right side
    554.69x = 153,463.17
  5. Step 5: Solve for x
    x = 153,463.17/554.69
  6. Step 6: Final answer
    x = 276.66

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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.