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Finding the Fourth Proportional to 210.90, 314.16 and 207.46

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Solution

The fourth proportional to 210.90, 314.16 and 207.46 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 314.16 = 207.46 : x
  2. Step 2: Convert to fraction form
    210.90/314.16 = 207.46/x
  3. Step 3: Cross multiply
    210.90x = 314.16 × 207.46
  4. Step 4: Simplify right side
    210.90x = 65,175.63
  5. Step 5: Solve for x
    x = 65,175.63/210.90
  6. Step 6: Final answer
    x = 309.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.