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Finding the Fourth Proportional to 468.16, 702.25 and 208.10

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Solution

The fourth proportional to 468.16, 702.25 and 208.10 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 702.25 = 208.10 : x
  2. Step 2: Convert to fraction form
    468.16/702.25 = 208.10/x
  3. Step 3: Cross multiply
    468.16x = 702.25 × 208.10
  4. Step 4: Simplify right side
    468.16x = 146,139.46
  5. Step 5: Solve for x
    x = 146,139.46/468.16
  6. Step 6: Final answer
    x = 312.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.