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Finding the Fourth Proportional to 183.62, 253.70 and 147.08

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Solution

The fourth proportional to 183.62, 253.70 and 147.08 is: 203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.62 : 253.70 = 147.08 : x
  2. Step 2: Convert to fraction form
    183.62/253.70 = 147.08/x
  3. Step 3: Cross multiply
    183.62x = 253.70 × 147.08
  4. Step 4: Simplify right side
    183.62x = 37,312.19
  5. Step 5: Solve for x
    x = 37,312.19/183.62
  6. Step 6: Final answer
    x = 203.21

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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.