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Finding the Fourth Proportional to 272.98, 376.71 and 148.64

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Solution

The fourth proportional to 272.98, 376.71 and 148.64 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.98 : 376.71 = 148.64 : x
  2. Step 2: Convert to fraction form
    272.98/376.71 = 148.64/x
  3. Step 3: Cross multiply
    272.98x = 376.71 × 148.64
  4. Step 4: Simplify right side
    272.98x = 55,994.17
  5. Step 5: Solve for x
    x = 55,994.17/272.98
  6. Step 6: Final answer
    x = 205.12

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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.