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Finding the Fourth Proportional to 215.51, 296.65 and 186.10

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Solution

The fourth proportional to 215.51, 296.65 and 186.10 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.51 : 296.65 = 186.10 : x
  2. Step 2: Convert to fraction form
    215.51/296.65 = 186.10/x
  3. Step 3: Cross multiply
    215.51x = 296.65 × 186.10
  4. Step 4: Simplify right side
    215.51x = 55,205.08
  5. Step 5: Solve for x
    x = 55,205.08/215.51
  6. Step 6: Final answer
    x = 256.17

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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.