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Finding the Fourth Proportional to 245.42, 368.00 and 99.10

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Solution

The fourth proportional to 245.42, 368.00 and 99.10 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.42 : 368.00 = 99.10 : x
  2. Step 2: Convert to fraction form
    245.42/368.00 = 99.10/x
  3. Step 3: Cross multiply
    245.42x = 368.00 × 99.10
  4. Step 4: Simplify right side
    245.42x = 36,468.13
  5. Step 5: Solve for x
    x = 36,468.13/245.42
  6. Step 6: Final answer
    x = 148.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.