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Finding the Fourth Proportional to 210.05, 289.72 and 148.01

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Solution

The fourth proportional to 210.05, 289.72 and 148.01 is: 204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 289.72 = 148.01 : x
  2. Step 2: Convert to fraction form
    210.05/289.72 = 148.01/x
  3. Step 3: Cross multiply
    210.05x = 289.72 × 148.01
  4. Step 4: Simplify right side
    210.05x = 42,881.46
  5. Step 5: Solve for x
    x = 42,881.46/210.05
  6. Step 6: Final answer
    x = 204.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.