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Finding the Fourth Proportional to 302.64, 417.72 and 199.14

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Solution

The fourth proportional to 302.64, 417.72 and 199.14 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.64 : 417.72 = 199.14 : x
  2. Step 2: Convert to fraction form
    302.64/417.72 = 199.14/x
  3. Step 3: Cross multiply
    302.64x = 417.72 × 199.14
  4. Step 4: Simplify right side
    302.64x = 83,184.76
  5. Step 5: Solve for x
    x = 83,184.76/302.64
  6. Step 6: Final answer
    x = 274.86

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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.