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Finding the Fourth Proportional to 302.61, 417.80 and 190.62

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Solution

The fourth proportional to 302.61, 417.80 and 190.62 is: 263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 417.80 = 190.62 : x
  2. Step 2: Convert to fraction form
    302.61/417.80 = 190.62/x
  3. Step 3: Cross multiply
    302.61x = 417.80 × 190.62
  4. Step 4: Simplify right side
    302.61x = 79,641.04
  5. Step 5: Solve for x
    x = 79,641.04/302.61
  6. Step 6: Final answer
    x = 263.18

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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.