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Finding the Fourth Proportional to 345.10, 476.16 and 205.14

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Solution

The fourth proportional to 345.10, 476.16 and 205.14 is: 283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 476.16 = 205.14 : x
  2. Step 2: Convert to fraction form
    345.10/476.16 = 205.14/x
  3. Step 3: Cross multiply
    345.10x = 476.16 × 205.14
  4. Step 4: Simplify right side
    345.10x = 97,679.46
  5. Step 5: Solve for x
    x = 97,679.46/345.10
  6. Step 6: Final answer
    x = 283.05

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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.