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Finding the Fourth Proportional to 262.64, 362.12 and 184.00

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Solution

The fourth proportional to 262.64, 362.12 and 184.00 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.12 = 184.00 : x
  2. Step 2: Convert to fraction form
    262.64/362.12 = 184.00/x
  3. Step 3: Cross multiply
    262.64x = 362.12 × 184.00
  4. Step 4: Simplify right side
    262.64x = 66,629.63
  5. Step 5: Solve for x
    x = 66,629.63/262.64
  6. Step 6: Final answer
    x = 253.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.