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Finding the Fourth Proportional to 272.96, 376.70 and 156.50

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Solution

The fourth proportional to 272.96, 376.70 and 156.50 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 376.70 = 156.50 : x
  2. Step 2: Convert to fraction form
    272.96/376.70 = 156.50/x
  3. Step 3: Cross multiply
    272.96x = 376.70 × 156.50
  4. Step 4: Simplify right side
    272.96x = 58,953.55
  5. Step 5: Solve for x
    x = 58,953.55/272.96
  6. Step 6: Final answer
    x = 215.98

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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.