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Finding the Fourth Proportional to 215.02, 322.52 and 86.77

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Solution

The fourth proportional to 215.02, 322.52 and 86.77 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.02 : 322.52 = 86.77 : x
  2. Step 2: Convert to fraction form
    215.02/322.52 = 86.77/x
  3. Step 3: Cross multiply
    215.02x = 322.52 × 86.77
  4. Step 4: Simplify right side
    215.02x = 27,984.47
  5. Step 5: Solve for x
    x = 27,984.47/215.02
  6. Step 6: Final answer
    x = 130.15

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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.