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Finding the Fourth Proportional to 215.29, 296.71 and 152.74

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Solution

The fourth proportional to 215.29, 296.71 and 152.74 is: 210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.29 : 296.71 = 152.74 : x
  2. Step 2: Convert to fraction form
    215.29/296.71 = 152.74/x
  3. Step 3: Cross multiply
    215.29x = 296.71 × 152.74
  4. Step 4: Simplify right side
    215.29x = 45,319.49
  5. Step 5: Solve for x
    x = 45,319.49/215.29
  6. Step 6: Final answer
    x = 210.50

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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.