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Finding the Fourth Proportional to 210.88, 291.12 and 145.36

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Solution

The fourth proportional to 210.88, 291.12 and 145.36 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.88 : 291.12 = 145.36 : x
  2. Step 2: Convert to fraction form
    210.88/291.12 = 145.36/x
  3. Step 3: Cross multiply
    210.88x = 291.12 × 145.36
  4. Step 4: Simplify right side
    210.88x = 42,317.20
  5. Step 5: Solve for x
    x = 42,317.20/210.88
  6. Step 6: Final answer
    x = 200.67

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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.