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Finding the Fourth Proportional to 277.34, 416.13 and 148.94

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Solution

The fourth proportional to 277.34, 416.13 and 148.94 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 416.13 = 148.94 : x
  2. Step 2: Convert to fraction form
    277.34/416.13 = 148.94/x
  3. Step 3: Cross multiply
    277.34x = 416.13 × 148.94
  4. Step 4: Simplify right side
    277.34x = 61,978.40
  5. Step 5: Solve for x
    x = 61,978.40/277.34
  6. Step 6: Final answer
    x = 223.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.