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Finding the Fourth Proportional to 145.37, 200.63 and 110.34

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Solution

The fourth proportional to 145.37, 200.63 and 110.34 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.37 : 200.63 = 110.34 : x
  2. Step 2: Convert to fraction form
    145.37/200.63 = 110.34/x
  3. Step 3: Cross multiply
    145.37x = 200.63 × 110.34
  4. Step 4: Simplify right side
    145.37x = 22,136.96
  5. Step 5: Solve for x
    x = 22,136.96/145.37
  6. Step 6: Final answer
    x = 152.28

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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.