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Finding the Fourth Proportional to 277.81, 383.36 and 153.47

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Solution

The fourth proportional to 277.81, 383.36 and 153.47 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.81 : 383.36 = 153.47 : x
  2. Step 2: Convert to fraction form
    277.81/383.36 = 153.47/x
  3. Step 3: Cross multiply
    277.81x = 383.36 × 153.47
  4. Step 4: Simplify right side
    277.81x = 58,831.58
  5. Step 5: Solve for x
    x = 58,831.58/277.81
  6. Step 6: Final answer
    x = 211.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.