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Finding the Fourth Proportional to 215.36, 296.95 and 184.18

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Solution

The fourth proportional to 215.36, 296.95 and 184.18 is: 253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.36 : 296.95 = 184.18 : x
  2. Step 2: Convert to fraction form
    215.36/296.95 = 184.18/x
  3. Step 3: Cross multiply
    215.36x = 296.95 × 184.18
  4. Step 4: Simplify right side
    215.36x = 54,692.25
  5. Step 5: Solve for x
    x = 54,692.25/215.36
  6. Step 6: Final answer
    x = 253.96

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Why These Related Problems?

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