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Finding the Fourth Proportional to 242.48, 364.96 and 182.32

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Solution

The fourth proportional to 242.48, 364.96 and 182.32 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.48 : 364.96 = 182.32 : x
  2. Step 2: Convert to fraction form
    242.48/364.96 = 182.32/x
  3. Step 3: Cross multiply
    242.48x = 364.96 × 182.32
  4. Step 4: Simplify right side
    242.48x = 66,539.51
  5. Step 5: Solve for x
    x = 66,539.51/242.48
  6. Step 6: Final answer
    x = 274.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.