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Finding the Fourth Proportional to 183.84, 253.56 and 145.08

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Solution

The fourth proportional to 183.84, 253.56 and 145.08 is: 200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 253.56 = 145.08 : x
  2. Step 2: Convert to fraction form
    183.84/253.56 = 145.08/x
  3. Step 3: Cross multiply
    183.84x = 253.56 × 145.08
  4. Step 4: Simplify right side
    183.84x = 36,786.48
  5. Step 5: Solve for x
    x = 36,786.48/183.84
  6. Step 6: Final answer
    x = 200.10

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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.