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Finding the Fourth Proportional to 270.51, 373.28 and 165.57

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Solution

The fourth proportional to 270.51, 373.28 and 165.57 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.51 : 373.28 = 165.57 : x
  2. Step 2: Convert to fraction form
    270.51/373.28 = 165.57/x
  3. Step 3: Cross multiply
    270.51x = 373.28 × 165.57
  4. Step 4: Simplify right side
    270.51x = 61,803.14
  5. Step 5: Solve for x
    x = 61,803.14/270.51
  6. Step 6: Final answer
    x = 228.47

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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.