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Finding the Fourth Proportional to 215.10, 296.53 and 183.88

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Solution

The fourth proportional to 215.10, 296.53 and 183.88 is: 253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 296.53 = 183.88 : x
  2. Step 2: Convert to fraction form
    215.10/296.53 = 183.88/x
  3. Step 3: Cross multiply
    215.10x = 296.53 × 183.88
  4. Step 4: Simplify right side
    215.10x = 54,525.94
  5. Step 5: Solve for x
    x = 54,525.94/215.10
  6. Step 6: Final answer
    x = 253.49

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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.