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Finding the Fourth Proportional to 265.40, 366.34 and 210.24

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Solution

The fourth proportional to 265.40, 366.34 and 210.24 is: 290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 366.34 = 210.24 : x
  2. Step 2: Convert to fraction form
    265.40/366.34 = 210.24/x
  3. Step 3: Cross multiply
    265.40x = 366.34 × 210.24
  4. Step 4: Simplify right side
    265.40x = 77,019.32
  5. Step 5: Solve for x
    x = 77,019.32/265.40
  6. Step 6: Final answer
    x = 290.20

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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.