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Finding the Fourth Proportional to 210.87, 291.03 and 145.35

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Solution

The fourth proportional to 210.87, 291.03 and 145.35 is: 200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 291.03 = 145.35 : x
  2. Step 2: Convert to fraction form
    210.87/291.03 = 145.35/x
  3. Step 3: Cross multiply
    210.87x = 291.03 × 145.35
  4. Step 4: Simplify right side
    210.87x = 42,301.21
  5. Step 5: Solve for x
    x = 42,301.21/210.87
  6. Step 6: Final answer
    x = 200.60

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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.