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Finding the Fourth Proportional to 215.46, 322.90 and 87.06

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Solution

The fourth proportional to 215.46, 322.90 and 87.06 is: 130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.46 : 322.90 = 87.06 : x
  2. Step 2: Convert to fraction form
    215.46/322.90 = 87.06/x
  3. Step 3: Cross multiply
    215.46x = 322.90 × 87.06
  4. Step 4: Simplify right side
    215.46x = 28,111.67
  5. Step 5: Solve for x
    x = 28,111.67/215.46
  6. Step 6: Final answer
    x = 130.47

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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.