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Finding the Fourth Proportional to 210.84, 290.68 and 145.23

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Solution

The fourth proportional to 210.84, 290.68 and 145.23 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 290.68 = 145.23 : x
  2. Step 2: Convert to fraction form
    210.84/290.68 = 145.23/x
  3. Step 3: Cross multiply
    210.84x = 290.68 × 145.23
  4. Step 4: Simplify right side
    210.84x = 42,215.46
  5. Step 5: Solve for x
    x = 42,215.46/210.84
  6. Step 6: Final answer
    x = 200.23

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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.