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Finding the Fourth Proportional to 468.19, 702.30 and 160.03

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Solution

The fourth proportional to 468.19, 702.30 and 160.03 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.19 : 702.30 = 160.03 : x
  2. Step 2: Convert to fraction form
    468.19/702.30 = 160.03/x
  3. Step 3: Cross multiply
    468.19x = 702.30 × 160.03
  4. Step 4: Simplify right side
    468.19x = 112,389.07
  5. Step 5: Solve for x
    x = 112,389.07/468.19
  6. Step 6: Final answer
    x = 240.05

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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.