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Finding the Fourth Proportional to 215.35, 297.14 and 128.00

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Solution

The fourth proportional to 215.35, 297.14 and 128.00 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.35 : 297.14 = 128.00 : x
  2. Step 2: Convert to fraction form
    215.35/297.14 = 128.00/x
  3. Step 3: Cross multiply
    215.35x = 297.14 × 128.00
  4. Step 4: Simplify right side
    215.35x = 38,034.02
  5. Step 5: Solve for x
    x = 38,034.02/215.35
  6. Step 6: Final answer
    x = 176.62

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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.