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Finding the Fourth Proportional to 210.35, 290.13 and 145.01

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Solution

The fourth proportional to 210.35, 290.13 and 145.01 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.35 : 290.13 = 145.01 : x
  2. Step 2: Convert to fraction form
    210.35/290.13 = 145.01/x
  3. Step 3: Cross multiply
    210.35x = 290.13 × 145.01
  4. Step 4: Simplify right side
    210.35x = 42,071.75
  5. Step 5: Solve for x
    x = 42,071.75/210.35
  6. Step 6: Final answer
    x = 200.01

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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.