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Finding the Fourth Proportional to 242.32, 364.90 and 174.32

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Solution

The fourth proportional to 242.32, 364.90 and 174.32 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 364.90 = 174.32 : x
  2. Step 2: Convert to fraction form
    242.32/364.90 = 174.32/x
  3. Step 3: Cross multiply
    242.32x = 364.90 × 174.32
  4. Step 4: Simplify right side
    242.32x = 63,608.80
  5. Step 5: Solve for x
    x = 63,608.80/242.32
  6. Step 6: Final answer
    x = 262.50

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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.