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Finding the Fourth Proportional to 215.16, 322.63 and 153.43

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Solution

The fourth proportional to 215.16, 322.63 and 153.43 is: 230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 322.63 = 153.43 : x
  2. Step 2: Convert to fraction form
    215.16/322.63 = 153.43/x
  3. Step 3: Cross multiply
    215.16x = 322.63 × 153.43
  4. Step 4: Simplify right side
    215.16x = 49,499.51
  5. Step 5: Solve for x
    x = 49,499.51/215.16
  6. Step 6: Final answer
    x = 230.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.