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Finding the Fourth Proportional to 183.51, 253.08 and 118.02

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Solution

The fourth proportional to 183.51, 253.08 and 118.02 is: 162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 253.08 = 118.02 : x
  2. Step 2: Convert to fraction form
    183.51/253.08 = 118.02/x
  3. Step 3: Cross multiply
    183.51x = 253.08 × 118.02
  4. Step 4: Simplify right side
    183.51x = 29,868.50
  5. Step 5: Solve for x
    x = 29,868.50/183.51
  6. Step 6: Final answer
    x = 162.76

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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.