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Finding the Fourth Proportional to 270.53, 373.10 and 165.50

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Solution

The fourth proportional to 270.53, 373.10 and 165.50 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.53 : 373.10 = 165.50 : x
  2. Step 2: Convert to fraction form
    270.53/373.10 = 165.50/x
  3. Step 3: Cross multiply
    270.53x = 373.10 × 165.50
  4. Step 4: Simplify right side
    270.53x = 61,745.36
  5. Step 5: Solve for x
    x = 61,745.36/270.53
  6. Step 6: Final answer
    x = 228.24

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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.