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Finding the Fourth Proportional to 254.98, 382.77 and 152.31

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Solution

The fourth proportional to 254.98, 382.77 and 152.31 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.98 : 382.77 = 152.31 : x
  2. Step 2: Convert to fraction form
    254.98/382.77 = 152.31/x
  3. Step 3: Cross multiply
    254.98x = 382.77 × 152.31
  4. Step 4: Simplify right side
    254.98x = 58,297.98
  5. Step 5: Solve for x
    x = 58,297.98/254.98
  6. Step 6: Final answer
    x = 228.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.