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Finding the Fourth Proportional to 302.16, 416.58 and 252.96

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Solution

The fourth proportional to 302.16, 416.58 and 252.96 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 416.58 = 252.96 : x
  2. Step 2: Convert to fraction form
    302.16/416.58 = 252.96/x
  3. Step 3: Cross multiply
    302.16x = 416.58 × 252.96
  4. Step 4: Simplify right side
    302.16x = 105,378.08
  5. Step 5: Solve for x
    x = 105,378.08/302.16
  6. Step 6: Final answer
    x = 348.75

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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.