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Finding the Fourth Proportional to 219.14, 302.18 and 152.83

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Solution

The fourth proportional to 219.14, 302.18 and 152.83 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 302.18 = 152.83 : x
  2. Step 2: Convert to fraction form
    219.14/302.18 = 152.83/x
  3. Step 3: Cross multiply
    219.14x = 302.18 × 152.83
  4. Step 4: Simplify right side
    219.14x = 46,182.17
  5. Step 5: Solve for x
    x = 46,182.17/219.14
  6. Step 6: Final answer
    x = 210.74

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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.